312616656 has 60 divisors (see below), whose sum is σ = 954432960. Its totient is φ = 94731840.

The previous prime is 312616651. The next prime is 312616753. The reversal of 312616656 is 656616213.

312616656 is a `hidden beast` number, since 31 + 2 + 616 + 6 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312616656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312616651) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 97096 + ... + 100263.

It is an arithmetic number, because the mean of its divisors is an integer number (15907216).

Almost surely, 2^312616656 is an apocalyptic number.

312616656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312616656 is an abundant number, since it is smaller than the sum of its proper divisors (641816304).

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

312616656 is a wasteful number, since it uses less digits than its factorization.

312616656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197384 (or 197375 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 312616656 is about 17680.9687517398. The cubic root of 312616656 is about 678.6888344707.

The spelling of 312616656 in words is "three hundred twelve million, six hundred sixteen thousand, six hundred fifty-six".