A cockroach can live a week without its head. The roach only dies because without a mouth, it can't drink water and dies of thirst.
Cockroaches can run up to three miles in an hour.
Adult males can squeeze into a space of 1.6mm or the thickness of a quarter. A cockroach heart is nothing but a simple tube with valves. The tube can pump blood backwards and forwards in the insect. The heart can even stop moving without harming the roach.