312673120 has 96 divisors (see below), whose sum is σ = 783578880. Its totient is φ = 117573120.

The previous prime is 312673087. The next prime is 312673169. The reversal of 312673120 is 21376213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495205 + ... + 495835.

It is an arithmetic number, because the mean of its divisors is an integer number (8162280).

Almost surely, 2^312673120 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 312673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391789440).

312673120 is an abundant number, since it is smaller than the sum of its proper divisors (470905760).

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

312673120 is a wasteful number, since it uses less digits than its factorization.

312673120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 312673120 is about 17682.5654247340. The cubic root of 312673120 is about 678.7296930096.

The spelling of 312673120 in words is "three hundred twelve million, six hundred seventy-three thousand, one hundred twenty".