313979120 has 320 divisors, whose sum is σ = 989936640. Its totient is φ = 89800704.

The previous prime is 313979089. The next prime is 313979153. The reversal of 313979120 is 21979313.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5321651 + ... + 5321709.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2^313979120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313979120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

313979120 is an abundant number, since it is smaller than the sum of its proper divisors (675957520).

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

313979120 is a wasteful number, since it uses less digits than its factorization.

313979120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 313979120 is about 17719.4559735902. The cubic root of 313979120 is about 679.6733725465.

The spelling of 313979120 in words is "three hundred thirteen million, nine hundred seventy-nine thousand, one hundred twenty".