686 kCal is the equivalent of walking several miles at a very brisk pace.
The rate of aerobic oxidation of glucose is slowed by a large number of factors, the primary one is the rate of oxygen uptake. What is the volume of a mole of oxygen at STP? Now account for the fact that the atmosphere is about 20% [tex]O_{2}[/tex] and normal tidal volume (breath volume is less than 700ml), the exchange rate of [tex]O_{2}[/tex] between alveolar air and hemoglobin is not 100%, and diffusion of oxygen is required to move oxygen into alveolar chambers.
http://faculty.washington.edu/kepeter/118/notes/pdf-set4/118gas-exchange-06.htm
In short - we can't get enough oxygen into our bodies to support a decent flame.
Plus oxidation is going on all at once in cells located all over the place in the body, not inside our stomach. The "fuel" is so spread out so far (diluted) it cannot burn anyway.