312037920 has 120 divisors (see below), whose sum is σ = 1101279564. Its totient is φ = 83206656.

The previous prime is 312037889. The next prime is 312037933. The reversal of 312037920 is 29730213.

It can be written as a sum of positive squares in 2 ways, for example, as 299843856 + 12194064 = 17316^2 + 3492^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 922 + ... + 24998.

Almost surely, 2^312037920 is an apocalyptic number.

312037920 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 312037920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550639782).

312037920 is an abundant number, since it is smaller than the sum of its proper divisors (789241644).

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

312037920 is a wasteful number, since it uses less digits than its factorization.

312037920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24104 (or 24087 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 312037920 is about 17664.5950986712. The cubic root of 312037920 is about 678.2697649978.

The spelling of 312037920 in words is "three hundred twelve million, thirty-seven thousand, nine hundred twenty".