956513664 has 128 divisors (see below), whose sum is σ = 2871504000. Its totient is φ = 313367040.

The previous prime is 956513617. The next prime is 956513689. The reversal of 956513664 is 466315659.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201559 + ... + 206249.

It is an arithmetic number, because the mean of its divisors is an integer number (22433625).

Almost surely, 2^956513664 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 956513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435752000).

956513664 is an abundant number, since it is smaller than the sum of its proper divisors (1914990336).

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

956513664 is a wasteful number, since it uses less digits than its factorization.

956513664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4755 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 956513664 is about 30927.5550925061. Note that the first 3 decimals coincide. The cubic root of 956513664 is about 985.2892084534.

The spelling of 956513664 in words is "nine hundred fifty-six million, five hundred thirteen thousand, six hundred sixty-four".