172664064 has 54 divisors (see below), whose sum is σ = 497839706. Its totient is φ = 57553920.

The previous prime is 172664003. The next prime is 172664069. The reversal of 172664064 is 460466271.

172664064 is a `hidden beast` number, since 1 + 7 + 2 + 6 + 640 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120824064 + 51840000 = 10992^2 + 7200^2 .

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 (172664069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35167 + ... + 39774.

Almost surely, 2^172664064 is an apocalyptic number.

It is an amenable number.

172664064 is an abundant number, since it is smaller than the sum of its proper divisors (325175642).

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

172664064 is an equidigital number, since it uses as much as digits as its factorization.

172664064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74963 (or 74946 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 172664064 is about 13140.1698619158. The cubic root of 172664064 is about 556.8445663892.

The spelling of 172664064 in words is "one hundred seventy-two million, six hundred sixty-four thousand, sixty-four".