312857664 has 112 divisors (see below), whose sum is σ = 1001743488. Its totient is φ = 84123648.

The previous prime is 312857609. The next prime is 312857687. The reversal of 312857664 is 466758213.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 16002 + ... + 29694.

Almost surely, 2^312857664 is an apocalyptic number.

312857664 is a gapful number since it is divisible by the number (34) 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 312857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500871744).

312857664 is an abundant number, since it is smaller than the sum of its proper divisors (688885824).

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

312857664 is a wasteful number, since it uses less digits than its factorization.

312857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13732 (or 13722 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 312857664 is about 17687.7829023312. The cubic root of 312857664 is about 678.8631986316.

The spelling of 312857664 in words is "three hundred twelve million, eight hundred fifty-seven thousand, six hundred sixty-four".