956364864 has 224 divisors, whose sum is σ = 3146121216. Its totient is φ = 249661440.

The previous prime is 956364853. The next prime is 956364889. The reversal of 956364864 is 468463659.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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, 2218729 + ... + 2219159.

It is an arithmetic number, because the mean of its divisors is an integer number (14045184).

Almost surely, 2^956364864 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 956364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573060608).

956364864 is an abundant number, since it is smaller than the sum of its proper divisors (2189756352).

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

956364864 is a wasteful number, since it uses less digits than its factorization.

956364864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The square root of 956364864 is about 30925.1493771655. The cubic root of 956364864 is about 985.2381136484.

The spelling of 956364864 in words is "nine hundred fifty-six million, three hundred sixty-four thousand, eight hundred sixty-four".