956108160 has 384 divisors, whose sum is σ = 3941084160. Its totient is φ = 208834560.

The previous prime is 956108149. The next prime is 956108161. The reversal of 956108160 is 61801659.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956108161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926845 + ... + 927875.

It is an arithmetic number, because the mean of its divisors is an integer number (10263240).

Almost surely, 2^956108160 is an apocalyptic number.

956108160 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 956108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970542080).

956108160 is an abundant number, since it is smaller than the sum of its proper divisors (2984976000).

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

956108160 is a wasteful number, since it uses less digits than its factorization.

956108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 956108160 is about 30920.9986902105. The cubic root of 956108160 is about 985.1499544090.

The spelling of 956108160 in words is "nine hundred fifty-six million, one hundred eight thousand, one hundred sixty".