959132160 has 480 divisors, whose sum is σ = 4008850560. Its totient is φ = 207028224.

The previous prime is 959132123. The next prime is 959132171. The reversal of 959132160 is 61231959.

959132160 is a `hidden beast` number, since 9 + 591 + 3 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 3064164 + ... + 3064476.

It is an arithmetic number, because the mean of its divisors is an integer number (8351772).

Almost surely, 2^959132160 is an apocalyptic number.

959132160 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 959132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004425280).

959132160 is an abundant number, since it is smaller than the sum of its proper divisors (3049718400).

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

959132160 is a wasteful number, since it uses less digits than its factorization.

959132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 959132160 is about 30969.8588953841. The cubic root of 959132160 is about 986.1874793506.

The spelling of 959132160 in words is "nine hundred fifty-nine million, one hundred thirty-two thousand, one hundred sixty".