956064000 has 288 divisors, whose sum is σ = 3321287424. Its totient is φ = 243302400.

The previous prime is 956063987. The next prime is 956064017. The reversal of 956064000 is 460659.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2207784 + ... + 2208216.

It is an arithmetic number, because the mean of its divisors is an integer number (11532248).

Almost surely, 2^956064000 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 956064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660643712).

956064000 is an abundant number, since it is smaller than the sum of its proper divisors (2365223424).

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

956064000 is a wasteful number, since it uses less digits than its factorization.

956064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 956064000 is about 30920.2846041236. The cubic root of 956064000 is about 985.1347870554.

The spelling of 956064000 in words is "nine hundred fifty-six million, sixty-four thousand".