319120 has 20 divisors (see below), whose sum is σ = 742140. Its totient is φ = 127616.

The previous prime is 319117. The next prime is 319127. The reversal of 319120 is 21913.

It can be written as a sum of positive squares in 2 ways, for example, as 132496 + 186624 = 364^2 + 432^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 319094 and 319103.

It is not an unprimeable number, because it can be changed into a prime (319127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1915 + ... + 2074.

It is an arithmetic number, because the mean of its divisors is an integer number (37107).

2³¹⁹¹²⁰ is an apocalyptic number.

It is an amenable number.

319120 is an abundant number, since it is smaller than the sum of its proper divisors (423020).

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

319120 is a wasteful number, since it uses less digits than its factorization.

319120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 319120 is about 564.9070720039. The cubic root of 319120 is about 68.3362811869.

The spelling of 319120 in words is "three hundred nineteen thousand, one hundred twenty".