312156160 has 56 divisors (see below), whose sum is σ = 749227356. Its totient is φ = 124846080.

The previous prime is 312156139. The next prime is 312156179. The reversal of 312156160 is 61651213.

312156160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 305270784 + 6885376 = 17472^2 + 2624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37150 + ... + 44770.

Almost surely, 2^312156160 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 312156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374613678).

312156160 is an abundant number, since it is smaller than the sum of its proper divisors (437071196).

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

312156160 is an frugal number, since it uses more digits than its factorization.

312156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7652 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 312156160 is about 17667.9415892175. The cubic root of 312156160 is about 678.3554260496.

The spelling of 312156160 in words is "three hundred twelve million, one hundred fifty-six thousand, one hundred sixty".