965823264 has 120 divisors (see below), whose sum is σ = 3246300288. Its totient is φ = 275944320.

The previous prime is 965823253. The next prime is 965823281. The reversal of 965823264 is 462328569.

965823264 is a `hidden beast` number, since 9 + 6 + 582 + 3 + 2 + 64 = 666.

It is a super-2 number, since 2×965823264² = 1865629154567227392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8472 + ... + 44759.

Almost surely, 2^965823264 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 965823264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623150144).

965823264 is an abundant number, since it is smaller than the sum of its proper divisors (2280477024).

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

965823264 is a wasteful number, since it uses less digits than its factorization.

965823264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53260 (or 53243 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 965823264 is about 31077.6972119879. The cubic root of 965823264 is about 988.4754496172.

The spelling of 965823264 in words is "nine hundred sixty-five million, eight hundred twenty-three thousand, two hundred sixty-four".