313087320 has 384 divisors, whose sum is σ = 1320883200. Its totient is φ = 62456832.

The previous prime is 313087309. The next prime is 313087363. The reversal of 313087320 is 23780313.

313087320 is a `hidden beast` number, since 31 + 308 + 7 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 622189 + ... + 622691.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^313087320 is an apocalyptic number.

313087320 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 313087320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

313087320 is an abundant number, since it is smaller than the sum of its proper divisors (1007795880).

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

313087320 is a wasteful number, since it uses less digits than its factorization.

313087320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 313087320 is about 17694.2736499694. The cubic root of 313087320 is about 679.0292665621.

The spelling of 313087320 in words is "three hundred thirteen million, eighty-seven thousand, three hundred twenty".