956704320 has 672 divisors, whose sum is σ = 4073981184. Its totient is φ = 202752000.

The previous prime is 956704319. The next prime is 956704363. The reversal of 956704320 is 23407659.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9472270 + ... + 9472370.

It is an arithmetic number, because the mean of its divisors is an integer number (6062472).

Almost surely, 2^956704320 is an apocalyptic number.

956704320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036990592).

956704320 is an abundant number, since it is smaller than the sum of its proper divisors (3117276864).

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

956704320 is a wasteful number, since it uses less digits than its factorization.

956704320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 956704320 is about 30930.6372388284. The cubic root of 956704320 is about 985.3546679886.

The spelling of 956704320 in words is "nine hundred fifty-six million, seven hundred four thousand, three hundred twenty".