956170656 has 240 divisors, whose sum is σ = 3244348800. Its totient is φ = 270604800.

The previous prime is 956170643. The next prime is 956170667. The reversal of 956170656 is 656071659.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2739570 + ... + 2739918.

It is an arithmetic number, because the mean of its divisors is an integer number (13518120).

Almost surely, 2^956170656 is an apocalyptic number.

956170656 is a gapful number since it is divisible by the number (96) 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 956170656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622174400).

956170656 is an abundant number, since it is smaller than the sum of its proper divisors (2288178144).

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

956170656 is a wasteful number, since it uses less digits than its factorization.

956170656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 956170656 is about 30922.0092490769. The cubic root of 956170656 is about 985.1714187136.

The spelling of 956170656 in words is "nine hundred fifty-six million, one hundred seventy thousand, six hundred fifty-six".