166311612 has 72 divisors (see below), whose sum is σ = 447016752. Its totient is φ = 51955200.

The previous prime is 166311599. The next prime is 166311623. The reversal of 166311612 is 216113661.

166311612 is a `hidden beast` number, since 1 + 6 + 631 + 16 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202162 + ... + 202982.

It is an arithmetic number, because the mean of its divisors is an integer number (6208566).

Almost surely, 2^166311612 is an apocalyptic number.

166311612 is a gapful number since it is divisible by the number (12) 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 166311612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223508376).

166311612 is an abundant number, since it is smaller than the sum of its proper divisors (280705140).

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

166311612 is a wasteful number, since it uses less digits than its factorization.

166311612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1174 counting only the distinct ones).

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

The square root of 166311612 is about 12896.1859477909. The cubic root of 166311612 is about 549.9301420916.

The spelling of 166311612 in words is "one hundred sixty-six million, three hundred eleven thousand, six hundred twelve".