956253120 has 112 divisors (see below), whose sum is σ = 3087745920. Its totient is φ = 250663936.

The previous prime is 956253107. The next prime is 956253139. The reversal of 956253120 is 21352659.

It is a congruent number.

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, 48199 + ... + 65081.

It is an arithmetic number, because the mean of its divisors is an integer number (27569160).

Almost surely, 2^956253120 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 956253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543872960).

956253120 is an abundant number, since it is smaller than the sum of its proper divisors (2131492800).

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

956253120 is a wasteful number, since it uses less digits than its factorization.

956253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16962 (or 16952 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 956253120 is about 30923.3426395013. The cubic root of 956253120 is about 985.1997396135.

The spelling of 956253120 in words is "nine hundred fifty-six million, two hundred fifty-three thousand, one hundred twenty".