312714864 has 480 divisors, whose sum is σ = 1221350400. Its totient is φ = 75479040.

The previous prime is 312714851. The next prime is 312714889. The reversal of 312714864 is 468417213.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3958377 + ... + 3958455.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^312714864 is an apocalyptic number.

312714864 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 312714864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610675200).

312714864 is an abundant number, since it is smaller than the sum of its proper divisors (908635536).

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

312714864 is a wasteful number, since it uses less digits than its factorization.

312714864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 312714864 is about 17683.7457570505. The cubic root of 312714864 is about 678.7598966842.

The spelling of 312714864 in words is "three hundred twelve million, seven hundred fourteen thousand, eight hundred sixty-four".