956788560 has 480 divisors, whose sum is σ = 4192231680. Its totient is φ = 189775872.

The previous prime is 956788549. The next prime is 956788607. The reversal of 956788560 is 65887659.

956788560 is a `hidden beast` number, since 9 + 5 + 6 + 78 + 8 + 560 = 666.

956788560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 956788497 and 956788506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1113411 + ... + 1114269.

It is an arithmetic number, because the mean of its divisors is an integer number (8733816).

Almost surely, 2^956788560 is an apocalyptic number.

956788560 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 956788560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096115840).

956788560 is an abundant number, since it is smaller than the sum of its proper divisors (3235443120).

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

956788560 is a wasteful number, since it uses less digits than its factorization.

956788560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 956788560 is about 30931.9989654726. The cubic root of 956788560 is about 985.3835880493.

The spelling of 956788560 in words is "nine hundred fifty-six million, seven hundred eighty-eight thousand, five hundred sixty".