313657680 has 80 divisors (see below), whose sum is σ = 1111250304. Its totient is φ = 71692800.

The previous prime is 313657679. The next prime is 313657697. The reversal of 313657680 is 86756313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×313657680² = 196762280445964800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91671 + ... + 95030.

Almost surely, 2^313657680 is an apocalyptic number.

313657680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313657680 is an abundant number, since it is smaller than the sum of its proper divisors (797592624).

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

313657680 is a wasteful number, since it uses less digits than its factorization.

313657680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186724 (or 186718 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 313657680 is about 17710.3833950595. The cubic root of 313657680 is about 679.4413520154.

The spelling of 313657680 in words is "three hundred thirteen million, six hundred fifty-seven thousand, six hundred eighty".