316632960 has 192 divisors, whose sum is σ = 1249728480. Its totient is φ = 72364032.

The previous prime is 316632941. The next prime is 316632961. The reversal of 316632960 is 69236613.

316632960 is a `hidden beast` number, since 3 + 16 + 632 + 9 + 6 + 0 = 666.

316632960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316632961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36394 + ... + 44246.

Almost surely, 2^316632960 is an apocalyptic number.

316632960 is a gapful number since it is divisible by the number (30) 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 316632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624864240).

316632960 is an abundant number, since it is smaller than the sum of its proper divisors (933095520).

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

316632960 is a wasteful number, since it uses less digits than its factorization.

316632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885 (or 7870 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 316632960 is about 17794.1833192760. The cubic root of 316632960 is about 681.5829328531.

The spelling of 316632960 in words is "three hundred sixteen million, six hundred thirty-two thousand, nine hundred sixty".