959128560 has 160 divisors (see below), whose sum is σ = 3557897280. Its totient is φ = 236086272.

The previous prime is 959128549. The next prime is 959128609. The reversal of 959128560 is 65821959.

959128560 is a `hidden beast` number, since 9 + 591 + 2 + 8 + 56 + 0 = 666.

959128560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11002 + ... + 45158.

It is an arithmetic number, because the mean of its divisors is an integer number (22236858).

Almost surely, 2^959128560 is an apocalyptic number.

959128560 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 959128560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778948640).

959128560 is an abundant number, since it is smaller than the sum of its proper divisors (2598768720).

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

959128560 is a wasteful number, since it uses less digits than its factorization.

959128560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34192 (or 34180 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 959128560 is about 30969.8007743027. The cubic root of 959128560 is about 986.1862454993.

The spelling of 959128560 in words is "nine hundred fifty-nine million, one hundred twenty-eight thousand, five hundred sixty".