956959920 has 600 divisors, whose sum is σ = 4090330464. Its totient is φ = 203046912.

The previous prime is 956959901. The next prime is 956959931. The reversal of 956959920 is 29959659.

956959920 is a `hidden beast` number, since 9 + 569 + 59 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13109004 + ... + 13109076.

Almost surely, 2^956959920 is an apocalyptic number.

956959920 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 956959920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045165232).

956959920 is an abundant number, since it is smaller than the sum of its proper divisors (3133370544).

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

956959920 is a wasteful number, since it uses less digits than its factorization.

956959920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The square root of 956959920 is about 30934.7687885331. The cubic root of 956959920 is about 985.4424116526.

The spelling of 956959920 in words is "nine hundred fifty-six million, nine hundred fifty-nine thousand, nine hundred twenty".