312937920 has 168 divisors, whose sum is σ = 1083874896. Its totient is φ = 82870272.

The previous prime is 312937883. The next prime is 312937939. The reversal of 312937920 is 29739213.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 555559 + ... + 556121.

Almost surely, 2^312937920 is an apocalyptic number.

312937920 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 312937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541937448).

312937920 is an abundant number, since it is smaller than the sum of its proper divisors (770936976).

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

312937920 is a wasteful number, since it uses less digits than its factorization.

312937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 312937920 is about 17690.0514414176. The cubic root of 312937920 is about 678.9212422651.

The spelling of 312937920 in words is "three hundred twelve million, nine hundred thirty-seven thousand, nine hundred twenty".