166964544 has 112 divisors (see below), whose sum is σ = 512307840. Its totient is φ = 53222400.

The previous prime is 166964509. The next prime is 166964557. The reversal of 166964544 is 445469661.

It is a happy number.

166964544 is a `hidden beast` number, since 16 + 6 + 96 + 4 + 544 = 666.

166964544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 166964544.

It is a congruent number.

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, 37644 + ... + 41844.

Almost surely, 2^166964544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166964544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256153920).

166964544 is an abundant number, since it is smaller than the sum of its proper divisors (345343296).

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

166964544 is a wasteful number, since it uses less digits than its factorization.

166964544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4229 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 166964544 is about 12921.4760766717. The cubic root of 166964544 is about 550.6488694487.

The spelling of 166964544 in words is "one hundred sixty-six million, nine hundred sixty-four thousand, five hundred forty-four".