996712800 has 144 divisors (see below), whose sum is σ = 3289320720. Its totient is φ = 262103040.

The previous prime is 996712763. The next prime is 996712813. The reversal of 996712800 is 8217699.

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, 172356 + ... + 178044.

It is an arithmetic number, because the mean of its divisors is an integer number (22842505).

Almost surely, 2^996712800 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 996712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644660360).

996712800 is an abundant number, since it is smaller than the sum of its proper divisors (2292607920).

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

996712800 is a wasteful number, since it uses less digits than its factorization.

996712800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 996712800 is about 31570.7586224975. The cubic root of 996712800 is about 998.9030638377.

The spelling of 996712800 in words is "nine hundred ninety-six million, seven hundred twelve thousand, eight hundred".