316920 has 64 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 79488.

The previous prime is 316919. The next prime is 316937. The reversal of 316920 is 29613.

316920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 316920.

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 15 ways as a sum of consecutive naturals, for example, 2211 + ... + 2349.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2³¹⁶⁹²⁰ is an apocalyptic number.

316920 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 316920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

316920 is an abundant number, since it is smaller than the sum of its proper divisors (691080).

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

316920 is a wasteful number, since it uses less digits than its factorization.

316920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 316920 is about 562.9564814442. The cubic root of 316920 is about 68.1788831060.

The spelling of 316920 in words is "three hundred sixteen thousand, nine hundred twenty".