956040960 has 216 divisors, whose sum is σ = 3552561936. Its totient is φ = 218480640.

The previous prime is 956040949. The next prime is 956040971. The reversal of 956040960 is 69040659.

It is an interprime number because it is at equal distance from previous prime (956040949) and next prime (956040971).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185620 + ... + 190700.

It is an arithmetic number, because the mean of its divisors is an integer number (16447046).

Almost surely, 2^956040960 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 956040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776280968).

956040960 is an abundant number, since it is smaller than the sum of its proper divisors (2596520976).

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

956040960 is a wasteful number, since it uses less digits than its factorization.

956040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 956040960 is about 30919.9120309227. The cubic root of 956040960 is about 985.1268734681.

The spelling of 956040960 in words is "nine hundred fifty-six million, forty thousand, nine hundred sixty".