312980920 has 64 divisors (see below), whose sum is σ = 847180800. Its totient is φ = 101658240.

The previous prime is 312980911. The next prime is 312980923. The reversal of 312980920 is 29089213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312980923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24096 + ... + 34735.

It is an arithmetic number, because the mean of its divisors is an integer number (13237200).

Almost surely, 2^312980920 is an apocalyptic number.

It is an amenable number.

312980920 is an abundant number, since it is smaller than the sum of its proper divisors (534199880).

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

312980920 is a wasteful number, since it uses less digits than its factorization.

312980920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58868 (or 58864 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 312980920 is about 17691.2667720545. The cubic root of 312980920 is about 678.9523371186.

The spelling of 312980920 in words is "three hundred twelve million, nine hundred eighty thousand, nine hundred twenty".