312979968 has 240 divisors, whose sum is σ = 1069026816. Its totient is φ = 86261760.

The previous prime is 312979957. The next prime is 312979973. The reversal of 312979968 is 869979213.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 999780 + ... + 1000092.

Almost surely, 2^312979968 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 312979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534513408).

312979968 is an abundant number, since it is smaller than the sum of its proper divisors (756046848).

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

312979968 is a wasteful number, since it uses less digits than its factorization.

312979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 356 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 312979968 is about 17691.2398661032. The cubic root of 312979968 is about 678.9516487239.

The spelling of 312979968 in words is "three hundred twelve million, nine hundred seventy-nine thousand, nine hundred sixty-eight".