164044864 has 21 divisors (see below), whose sum is σ = 325729981. Its totient is φ = 81971200.

The previous prime is 164044819. The next prime is 164044873. The reversal of 164044864 is 468440461.

The square root of 164044864 is 12808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 163635264 + 409600 = 12792^2 + 640^2 .

It is a super-3 number, since 3×164044864³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 101664 + ... + 103264.

Almost surely, 2^164044864 is an apocalyptic number.

164044864 is the 12808-th square number.

It is an amenable number.

164044864 is a deficient number, since it is larger than the sum of its proper divisors (161685117).

164044864 is an frugal number, since it uses more digits than its factorization.

164044864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The cubic root of 164044864 is about 547.4202759864.

The spelling of 164044864 in words is "one hundred sixty-four million, forty-four thousand, eight hundred sixty-four".