996844800 has 216 divisors, whose sum is σ = 3760273216. Its totient is φ = 227819520.

The previous prime is 996844781. The next prime is 996844841. The reversal of 996844800 is 8448699.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 996844800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130692 + ... + 138108.

Almost surely, 2^996844800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880136608).

996844800 is an abundant number, since it is smaller than the sum of its proper divisors (2763428416).

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

996844800 is a wasteful number, since it uses less digits than its factorization.

996844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7453 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 996844800 is about 31572.8490953857. The cubic root of 996844800 is about 998.9471585806.

The spelling of 996844800 in words is "nine hundred ninety-six million, eight hundred forty-four thousand, eight hundred".