312363216 has 100 divisors (see below), whose sum is σ = 986302944. Its totient is φ = 94651200.

The previous prime is 312363209. The next prime is 312363229. The reversal of 312363216 is 612363213.

It is a happy number.

312363216 is a `hidden beast` number, since 3 + 1 + 23 + 632 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 312363216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3301 + ... + 25211.

Almost surely, 2^312363216 is an apocalyptic number.

312363216 is a gapful number since it is divisible by the number (36) 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 312363216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493151472).

312363216 is an abundant number, since it is smaller than the sum of its proper divisors (673939728).

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

312363216 is a wasteful number, since it uses less digits than its factorization.

312363216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21942 (or 21927 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 312363216 is about 17673.8002704568. The cubic root of 312363216 is about 678.5053793262.

The spelling of 312363216 in words is "three hundred twelve million, three hundred sixty-three thousand, two hundred sixteen".