975912000 has 448 divisors, whose sum is σ = 3806439936. Its totient is φ = 215654400.

The previous prime is 975911987. The next prime is 975912019. The reversal of 975912000 is 219579.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 6215922 + ... + 6216078.

Almost surely, 2^975912000 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 975912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903219968).

975912000 is an abundant number, since it is smaller than the sum of its proper divisors (2830527936).

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

975912000 is a wasteful number, since it uses less digits than its factorization.

975912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 975912000 is about 31239.5902661991. The cubic root of 975912000 is about 991.9053196143.

The spelling of 975912000 in words is "nine hundred seventy-five million, nine hundred twelve thousand".