312606880 has 96 divisors (see below), whose sum is σ = 786678480. Its totient is φ = 116981760.

The previous prime is 312606859. The next prime is 312606913. The reversal of 312606880 is 88606213.

It can be written as a sum of positive squares in 8 ways, for example, as 270668304 + 41938576 = 16452^2 + 6476^2 .

It is a super-2 number, since 2×312606880² = 195446122846668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764116 + ... + 764524.

Almost surely, 2^312606880 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 312606880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393339240).

312606880 is an abundant number, since it is smaller than the sum of its proper divisors (474071600).

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

312606880 is a wasteful number, since it uses less digits than its factorization.

312606880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 312606880 is about 17680.6922941383. The cubic root of 312606880 is about 678.6817598517.

The spelling of 312606880 in words is "three hundred twelve million, six hundred six thousand, eight hundred eighty".