956480160 has 96 divisors (see below), whose sum is σ = 3017710080. Its totient is φ = 254655488.

The previous prime is 956480149. The next prime is 956480191. The reversal of 956480160 is 61084659.

It is a tau number, because it is divible by the number of its divisors (96).

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, 413086 + ... + 415394.

It is an arithmetic number, because the mean of its divisors is an integer number (31434480).

Almost surely, 2^956480160 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 956480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508855040).

956480160 is an abundant number, since it is smaller than the sum of its proper divisors (2061229920).

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

956480160 is a wasteful number, since it uses less digits than its factorization.

956480160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 956480160 is about 30927.0134348598. The cubic root of 956480160 is about 985.2777043434.

The spelling of 956480160 in words is "nine hundred fifty-six million, four hundred eighty thousand, one hundred sixty".