956160 has 108 divisors (see below), whose sum is σ = 3348072. Its totient is φ = 251904.

The previous prime is 956147. The next prime is 956177. The reversal of 956160 is 61659.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

956160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11479 + ... + 11561.

2⁹⁵⁶¹⁶⁰ is an apocalyptic number.

956160 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 956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674036).

956160 is an abundant number, since it is smaller than the sum of its proper divisors (2391912).

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

956160 is a wasteful number, since it uses less digits than its factorization.

956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 956160 is about 977.8343417982. The cubic root of 956160 is about 98.5167758967.

It can be divided in two parts, 9 and 56160, that added together give a square (56169 = 237²).

The spelling of 956160 in words is "nine hundred fifty-six thousand, one hundred sixty".