312552960 has 80 divisors (see below), whose sum is σ = 999217296. Its totient is φ = 83345408.

The previous prime is 312552917. The next prime is 312552971. The reversal of 312552960 is 69255213.

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 7 ways as a sum of consecutive naturals, for example, 12669 + ... + 28028.

Almost surely, 2^312552960 is an apocalyptic number.

312552960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312552960 is an abundant number, since it is smaller than the sum of its proper divisors (686664336).

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

312552960 is an equidigital number, since it uses as much as digits as its factorization.

312552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40723 (or 40707 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 312552960 is about 17679.1674012098. The cubic root of 312552960 is about 678.6427367986.

The spelling of 312552960 in words is "three hundred twelve million, five hundred fifty-two thousand, nine hundred sixty".