312561856 has 56 divisors (see below), whose sum is σ = 655533360. Its totient is φ = 147456000.

The previous prime is 312561853. The next prime is 312561863. The reversal of 312561856 is 658165213.

It is a super-3 number, since 3×312561856³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (312561853) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487296 + ... + 487936.

Almost surely, 2^312561856 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 312561856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327766680).

312561856 is an abundant number, since it is smaller than the sum of its proper divisors (342971504).

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

312561856 is a wasteful number, since it uses less digits than its factorization.

312561856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1063 counting only the distinct ones).

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

The square root of 312561856 is about 17679.4189949783. The cubic root of 312561856 is about 678.6491753325.

The spelling of 312561856 in words is "three hundred twelve million, five hundred sixty-one thousand, eight hundred fifty-six".