313678320 has 80 divisors (see below), whose sum is σ = 974535840. Its totient is φ = 83464192.

The previous prime is 313678291. The next prime is 313678349. The reversal of 313678320 is 23876313.

It is an interprime number because it is at equal distance from previous prime (313678291) and next prime (313678349).

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

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, 135412 + ... + 137708.

It is an arithmetic number, because the mean of its divisors is an integer number (12181698).

Almost surely, 2^313678320 is an apocalyptic number.

313678320 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 313678320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487267920).

313678320 is an abundant number, since it is smaller than the sum of its proper divisors (660857520).

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

313678320 is a wasteful number, since it uses less digits than its factorization.

313678320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 313678320 is about 17710.9660944851. The cubic root of 313678320 is about 679.4562550586.

The spelling of 313678320 in words is "three hundred thirteen million, six hundred seventy-eight thousand, three hundred twenty".