166164732 has 72 divisors (see below), whose sum is σ = 452127312. Its totient is φ = 51264000.

The previous prime is 166164731. The next prime is 166164763. The reversal of 166164732 is 237461661.

It is a happy number.

166164732 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 647 + 3 + 2 = 666.

It is a super-2 number, since 2×166164732² = 55221436321263648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166164731) 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, 35107 + ... + 39557.

It is an arithmetic number, because the mean of its divisors is an integer number (6279546).

Almost surely, 2^166164732 is an apocalyptic number.

166164732 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 166164732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226063656).

166164732 is an abundant number, since it is smaller than the sum of its proper divisors (285962580).

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

166164732 is a wasteful number, since it uses less digits than its factorization.

166164732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4534 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 166164732 is about 12890.4899829293. The cubic root of 166164732 is about 549.7682020468.

The spelling of 166164732 in words is "one hundred sixty-six million, one hundred sixty-four thousand, seven hundred thirty-two".