312618960 has 80 divisors (see below), whose sum is σ = 1076806080. Its totient is φ = 83364480.

The previous prime is 312618959. The next prime is 312618983. The reversal of 312618960 is 69816213.

312618960 is a `hidden beast` number, since 31 + 2 + 618 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×312618960² = 195461228302963200, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 70206 + ... + 74525.

It is an arithmetic number, because the mean of its divisors is an integer number (13460076).

Almost surely, 2^312618960 is an apocalyptic number.

312618960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312618960 is an abundant number, since it is smaller than the sum of its proper divisors (764187120).

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

312618960 is a wasteful number, since it uses less digits than its factorization.

312618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144753 (or 144741 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 312618960 is about 17681.0339064207. The cubic root of 312618960 is about 678.6905017899.

The spelling of 312618960 in words is "three hundred twelve million, six hundred eighteen thousand, nine hundred sixty".