985612800 has 120 divisors (see below), whose sum is σ = 3256037136. Its totient is φ = 262819840.

The previous prime is 985612741. The next prime is 985612819. The reversal of 985612800 is 8216589.

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

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 11 ways as a sum of consecutive naturals, for example, 25567 + ... + 51233.

Almost surely, 2^985612800 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 985612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628018568).

985612800 is an abundant number, since it is smaller than the sum of its proper divisors (2270424336).

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

985612800 is a wasteful number, since it uses less digits than its factorization.

985612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25698 (or 25677 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 985612800 is about 31394.4708507724. The cubic root of 985612800 is about 995.1810819975.

The spelling of 985612800 in words is "nine hundred eighty-five million, six hundred twelve thousand, eight hundred".