166086312 has 128 divisors (see below), whose sum is σ = 505128960. Its totient is φ = 44478720.

The previous prime is 166086307. The next prime is 166086317. The reversal of 166086312 is 213680661.

166086312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166086307) and next prime (166086317).

It is a super-2 number, since 2×166086312² = 55169326067522688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166086317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204387 + ... + 205197.

It is an arithmetic number, because the mean of its divisors is an integer number (3946320).

Almost surely, 2^166086312 is an apocalyptic number.

166086312 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 166086312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252564480).

166086312 is an abundant number, since it is smaller than the sum of its proper divisors (339042648).

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

166086312 is a wasteful number, since it uses less digits than its factorization.

166086312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 166086312 is about 12887.4478466452. The cubic root of 166086312 is about 549.6817023307.

The spelling of 166086312 in words is "one hundred sixty-six million, eighty-six thousand, three hundred twelve".