959376960 has 140 divisors (see below), whose sum is σ = 3412764828. Its totient is φ = 255826944.

The previous prime is 959376947. The next prime is 959376961. The reversal of 959376960 is 69673959.

959376960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 415181376 + 544195584 = 20376^2 + 23328^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 959376897 and 959376906.

It is not an unprimeable number, because it can be changed into a prime (959376961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7414 + ... + 44426.

Almost surely, 2^959376960 is an apocalyptic number.

959376960 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 959376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706382414).

959376960 is an abundant number, since it is smaller than the sum of its proper divisors (2453387868).

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

959376960 is a wasteful number, since it uses less digits than its factorization.

959376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37042 (or 37023 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 959376960 is about 30973.8108730585. The cubic root of 959376960 is about 986.2713739964.

The spelling of 959376960 in words is "nine hundred fifty-nine million, three hundred seventy-six thousand, nine hundred sixty".