166566312 has 96 divisors (see below), whose sum is σ = 518076000. Its totient is φ = 47813760.

The previous prime is 166566287. The next prime is 166566319. The reversal of 166566312 is 213665661.

166566312 is a `hidden beast` number, since 1 + 66 + 566 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (166566319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9514 + ... + 20582.

It is an arithmetic number, because the mean of its divisors is an integer number (5396625).

Almost surely, 2^166566312 is an apocalyptic number.

166566312 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 166566312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259038000).

166566312 is an abundant number, since it is smaller than the sum of its proper divisors (351509688).

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

166566312 is a wasteful number, since it uses less digits than its factorization.

166566312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111 (or 11104 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 166566312 is about 12906.0571825790. The cubic root of 166566312 is about 550.2107313696.

The spelling of 166566312 in words is "one hundred sixty-six million, five hundred sixty-six thousand, three hundred twelve".