• 168 can be written using four 4's:

168 has 16 divisors (see below), whose sum is σ = 480. Its totient is φ = 48.

The previous prime is 167. The next prime is 173. The reversal of 168 is 861.

168 is nontrivially palindromic in base 13.

It is a Cunningham number, because it is equal to 13^{2}-1.

It is a nude number because it is divisible by every one of its digits.

168 is an idoneal number.

It is one of the 548 Lynch-Bell numbers.

Its product of digits (48) is a multiple of the sum of its prime divisors (12).

168 is a nontrivial repdigit in base 13.

It is a plaindrome in base 5, base 10 and base 13.

It is a nialpdrome in base 4, base 6, base 7, base 13, base 14, base 15 and base 16.

It is a zygodrome in base 5 and base 13.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21 + ... + 27.

It is an arithmetic number, because the mean of its divisors is an integer number (30).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240).

168 is an abundant number, since it is smaller than the sum of its proper divisors (312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168 is a wasteful number, since it uses less digits than its factorization.

168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16 (or 12 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 168 is about 12.9614813968. The cubic root of 168 is about 5.5178483528.

Subtracting from 168 its sum of digits (15), we obtain a triangular number (153 = T_{17}).

Adding to 168 its product of digits (48), we get a cube (216 = 6^{3}).

Subtracting from 168 its product of digits (48), we obtain a triangular number (120 = T_{15}).

It can be divided in two parts, 16 and 8, that multiplied together give a 7-th power (128 = 2^{7}).

The spelling of 168 in words is "one hundred sixty-eight", and thus it is an aban number.

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