312879168 has 168 divisors, whose sum is σ = 1039945088. Its totient is φ = 88086528.

The previous prime is 312879167. The next prime is 312879181. The reversal of 312879168 is 861978213.

312879168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (312879163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293805 + ... + 294867.

Almost surely, 2^312879168 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 312879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519972544).

312879168 is an abundant number, since it is smaller than the sum of its proper divisors (727065920).

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

312879168 is a wasteful number, since it uses less digits than its factorization.

312879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1148 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 312879168 is about 17688.3907690892. The cubic root of 312879168 is about 678.8787519661.

The spelling of 312879168 in words is "three hundred twelve million, eight hundred seventy-nine thousand, one hundred sixty-eight".