6996400 has 30 divisors (see below), whose sum is σ = 16809812. Its totient is φ = 2798400.

The previous prime is 6996377. The next prime is 6996419. The reversal of 6996400 is 46996.

6996400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6996400² = 97899225920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8346 + ... + 9145.

Almost surely, 2^6996400 is an apocalyptic number.

It is an amenable number.

6996400 is an abundant number, since it is smaller than the sum of its proper divisors (9813412).

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

6996400 is a wasteful number, since it uses less digits than its factorization.

6996400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17509 (or 17498 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 6996400 is about 2645.0708875189. The cubic root of 6996400 is about 191.2603195480.

It can be divided in two parts, 6996 and 400, that added together give a square (7396 = 86²).

The spelling of 6996400 in words is "six million, nine hundred ninety-six thousand, four hundred".