312957664 has 24 divisors (see below), whose sum is σ = 648564840. Its totient is φ = 148242816.

The previous prime is 312957649. The next prime is 312957703. The reversal of 312957664 is 466759213.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 312957664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 256759 + ... + 257974.

It is an arithmetic number, because the mean of its divisors is an integer number (27023535).

Almost surely, 2^312957664 is an apocalyptic number.

It is an amenable number.

312957664 is an abundant number, since it is smaller than the sum of its proper divisors (335607176).

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

312957664 is a wasteful number, since it uses less digits than its factorization.

312957664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514762 (or 514754 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The square root of 312957664 is about 17690.6094863914. The cubic root of 312957664 is about 678.9355202185.

The spelling of 312957664 in words is "three hundred twelve million, nine hundred fifty-seven thousand, six hundred sixty-four".