313920 has 84 divisors (see below), whose sum is σ = 1089660. Its totient is φ = 82944.

The previous prime is 313909. The next prime is 313921. The reversal of 313920 is 29313.

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 147456 = 408^2 + 384^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313893 and 313902.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313920.

It is not an unprimeable number, because it can be changed into a prime (313921) by changing a digit.

313920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2826 + ... + 2934.

2³¹³⁹²⁰ is an apocalyptic number.

313920 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 313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544830).

313920 is an abundant number, since it is smaller than the sum of its proper divisors (775740).

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

313920 is a wasteful number, since it uses less digits than its factorization.

313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 313920 is about 560.2856414366. The cubic root of 313920 is about 67.9630710673.

The spelling of 313920 in words is "three hundred thirteen thousand, nine hundred twenty".