312981680 has 80 divisors (see below), whose sum is σ = 835660800. Its totient is φ = 107815680.

The previous prime is 312981653. The next prime is 312981707. The reversal of 312981680 is 86189213.

It is an interprime number because it is at equal distance from previous prime (312981653) and next prime (312981707).

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

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 7361 + ... + 26079.

It is an arithmetic number, because the mean of its divisors is an integer number (10445760).

Almost surely, 2^312981680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312981680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417830400).

312981680 is an abundant number, since it is smaller than the sum of its proper divisors (522679120).

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

312981680 is a wasteful number, since it uses less digits than its factorization.

312981680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18762 (or 18756 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 312981680 is about 17691.2882515661. The cubic root of 312981680 is about 678.9528866765.

The spelling of 312981680 in words is "three hundred twelve million, nine hundred eighty-one thousand, six hundred eighty".