312166116 has 48 divisors (see below), whose sum is σ = 816513600. Its totient is φ = 103130496.

The previous prime is 312166103. The next prime is 312166147. The reversal of 312166116 is 611661213.

312166116 is a `hidden beast` number, since 31 + 2 + 16 + 611 + 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 312166116.

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, 586 + ... + 24993.

It is an arithmetic number, because the mean of its divisors is an integer number (17010700).

Almost surely, 2^312166116 is an apocalyptic number.

312166116 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 312166116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408256800).

312166116 is an abundant number, since it is smaller than the sum of its proper divisors (504347484).

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

312166116 is a wasteful number, since it uses less digits than its factorization.

312166116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25705 (or 25697 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 312166116 is about 17668.2233402230. The cubic root of 312166116 is about 678.3626378619.

The spelling of 312166116 in words is "three hundred twelve million, one hundred sixty-six thousand, one hundred sixteen".