312881616 has 50 divisors (see below), whose sum is σ = 905573922. Its totient is φ = 104293440.

The previous prime is 312881603. The next prime is 312881623. The reversal of 312881616 is 616188213.

312881616 is a `hidden beast` number, since 31 + 2 + 8 + 8 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 275427216 + 37454400 = 16596^2 + 6120^2 .

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 polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 119415 + ... + 122006.

Almost surely, 2^312881616 is an apocalyptic number.

312881616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312881616 is an abundant number, since it is smaller than the sum of its proper divisors (592692306).

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

312881616 is a wasteful number, since it uses less digits than its factorization.

312881616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241441 (or 241426 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 312881616 is about 17688.4599668824. The cubic root of 312881616 is about 678.8805225015.

The spelling of 312881616 in words is "three hundred twelve million, eight hundred eighty-one thousand, six hundred sixteen".