996310800 has 120 divisors (see below), whose sum is σ = 3546166880. Its totient is φ = 265680000.

The previous prime is 996310781. The next prime is 996310859. The reversal of 996310800 is 8013699.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35326 + ... + 56925.

Almost surely, 2^996310800 is an apocalyptic number.

996310800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

996310800 is an abundant number, since it is smaller than the sum of its proper divisors (2549856080).

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

996310800 is a wasteful number, since it uses less digits than its factorization.

996310800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92278 (or 92261 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 996310800 is about 31564.3913294713. The cubic root of 996310800 is about 998.7687513155.

The spelling of 996310800 in words is "nine hundred ninety-six million, three hundred ten thousand, eight hundred".