312549216 has 192 divisors, whose sum is σ = 1005903360. Its totient is φ = 82944000.

The previous prime is 312549187. The next prime is 312549227. The reversal of 312549216 is 612945213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245091 + ... + 1245341.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2^312549216 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 312549216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502951680).

312549216 is an abundant number, since it is smaller than the sum of its proper divisors (693354144).

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

312549216 is a wasteful number, since it uses less digits than its factorization.

312549216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 312549216 is about 17679.0615135533. The cubic root of 312549216 is about 678.6400270193.

It can be divided in two parts, 31254 and 9216, that added together give a triangular number (40470 = T₂₈₄).

The spelling of 312549216 in words is "three hundred twelve million, five hundred forty-nine thousand, two hundred sixteen".