312615856 has 80 divisors (see below), whose sum is σ = 739934784. Its totient is φ = 124895232.

The previous prime is 312615841. The next prime is 312615859. The reversal of 312615856 is 658516213.

It is a super-2 number, since 2×312615856² = 195457346845225472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312615859) 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 15 ways as a sum of consecutive naturals, for example, 214426 + ... + 215878.

Almost surely, 2^312615856 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 312615856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369967392).

312615856 is an abundant number, since it is smaller than the sum of its proper divisors (427318928).

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

312615856 is a wasteful number, since it uses less digits than its factorization.

312615856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1592 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The square root of 312615856 is about 17680.9461285306. The cubic root of 312615856 is about 678.6882555386.

The spelling of 312615856 in words is "three hundred twelve million, six hundred fifteen thousand, eight hundred fifty-six".