312922680 has 256 divisors, whose sum is σ = 1131356160. Its totient is φ = 67737600.

The previous prime is 312922667. The next prime is 312922697. The reversal of 312922680 is 86229213.

It is a happy number.

312922680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1588342 + ... + 1588538.

It is an arithmetic number, because the mean of its divisors is an integer number (4419360).

Almost surely, 2^312922680 is an apocalyptic number.

312922680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312922680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565678080).

312922680 is an abundant number, since it is smaller than the sum of its proper divisors (818433480).

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

312922680 is a wasteful number, since it uses less digits than its factorization.

312922680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 312922680 is about 17689.6206855885. The cubic root of 312922680 is about 678.9102209868.

The spelling of 312922680 in words is "three hundred twelve million, nine hundred twenty-two thousand, six hundred eighty".