312820872 has 128 divisors (see below), whose sum is σ = 985205760. Its totient is φ = 80559360.

The previous prime is 312820843. The next prime is 312820873. The reversal of 312820872 is 278028213.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (312820873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92247 + ... + 95577.

It is an arithmetic number, because the mean of its divisors is an integer number (7696920).

Almost surely, 2^312820872 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 312820872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492602880).

312820872 is an abundant number, since it is smaller than the sum of its proper divisors (672384888).

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

312820872 is a wasteful number, since it uses less digits than its factorization.

312820872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 312820872 is about 17686.7428318501. The cubic root of 312820872 is about 678.8365861953.

The spelling of 312820872 in words is "three hundred twelve million, eight hundred twenty thousand, eight hundred seventy-two".