316933920 has 144 divisors (see below), whose sum is σ = 1093168440. Its totient is φ = 83607552.

The previous prime is 316933901. The next prime is 316933921. The reversal of 316933920 is 29339613.

It is a happy number.

316933920 is a `hidden beast` number, since 316 + 9 + 339 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 160883856 + 156050064 = 12684^2 + 12492^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (316933921) 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, 138546 + ... + 140814.

Almost surely, 2^316933920 is an apocalyptic number.

316933920 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 316933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546584220).

316933920 is an abundant number, since it is smaller than the sum of its proper divisors (776234520).

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

316933920 is a wasteful number, since it uses less digits than its factorization.

316933920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 316933920 is about 17802.6380067674. The cubic root of 316933920 is about 681.7988129286.

The spelling of 316933920 in words is "three hundred sixteen million, nine hundred thirty-three thousand, nine hundred twenty".