164656624 has 80 divisors (see below), whose sum is σ = 363976704. Its totient is φ = 71481600.

The previous prime is 164656607. The next prime is 164656633. The reversal of 164656624 is 426656461.

164656624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164656624² = 54223607654154752, which contains 22 as substring.

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, 561822 + ... + 562114.

Almost surely, 2^164656624 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 164656624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

164656624 is an abundant number, since it is smaller than the sum of its proper divisors (199320080).

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

164656624 is a wasteful number, since it uses less digits than its factorization.

164656624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 164656624 is about 12831.8597249191. The cubic root of 164656624 is about 548.0999160701.

The spelling of 164656624 in words is "one hundred sixty-four million, six hundred fifty-six thousand, six hundred twenty-four".