313675680 has 48 divisors (see below), whose sum is σ = 988079904. Its totient is φ = 83646720.

The previous prime is 313675667. The next prime is 313675699. The reversal of 313675680 is 86576313.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 326266 + ... + 327225.

It is an arithmetic number, because the mean of its divisors is an integer number (20584998).

Almost surely, 2^313675680 is an apocalyptic number.

313675680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313675680 is an abundant number, since it is smaller than the sum of its proper divisors (674404224).

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

313675680 is a wasteful number, since it uses less digits than its factorization.

313675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653509 (or 653501 counting only the distinct ones).

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

The square root of 313675680 is about 17710.8915642324. The cubic root of 313675680 is about 679.4543488919.

The spelling of 313675680 in words is "three hundred thirteen million, six hundred seventy-five thousand, six hundred eighty".