996 = 2 x 2 x 3 x 83.
996 has a square (992016) formed by inserting a block of digits inside itself (A045953, A046829), A046851, and A086457).
The sum of the squares of the first 996 primes is a prime (A098561).
996 is the number of cubic lattice walks that start and end at the origin after 6 steps, not touching the origin at intermediate stages (A049037).
Source: What's Special About This Number?