312552864 has 96 divisors (see below), whose sum is σ = 981771840. Its totient is φ = 96166656.

The previous prime is 312552859. The next prime is 312552887. The reversal of 312552864 is 468255213.

312552864 is a `hidden beast` number, since 3 + 125 + 528 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2682 + ... + 25145.

It is an arithmetic number, because the mean of its divisors is an integer number (10226790).

Almost surely, 2^312552864 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 312552864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490885920).

312552864 is an abundant number, since it is smaller than the sum of its proper divisors (669218976).

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

312552864 is a wasteful number, since it uses less digits than its factorization.

312552864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27859 (or 27845 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 312552864 is about 17679.1646861496. The cubic root of 312552864 is about 678.6426673173.

The spelling of 312552864 in words is "three hundred twelve million, five hundred fifty-two thousand, eight hundred sixty-four".