313674720 has 96 divisors (see below), whose sum is σ = 998409888. Its totient is φ = 82771968.

The previous prime is 313674707. The next prime is 313674727. The reversal of 313674720 is 27476313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313674727) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43192 + ... + 49928.

It is an arithmetic number, because the mean of its divisors is an integer number (10400103).

Almost surely, 2^313674720 is an apocalyptic number.

313674720 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 313674720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499204944).

313674720 is an abundant number, since it is smaller than the sum of its proper divisors (684735168).

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

313674720 is a wasteful number, since it uses less digits than its factorization.

313674720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 313674720 is about 17710.8644622446. The cubic root of 313674720 is about 679.4536557377.

The spelling of 313674720 in words is "three hundred thirteen million, six hundred seventy-four thousand, seven hundred twenty".