164593656 has 96 divisors (see below), whose sum is σ = 475488000. Its totient is φ = 51285312.

The previous prime is 164593631. The next prime is 164593661. The reversal of 164593656 is 656395461.

164593656 is a `hidden beast` number, since 1 + 6 + 4 + 593 + 6 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107311 + ... + 108833.

It is an arithmetic number, because the mean of its divisors is an integer number (4953000).

Almost surely, 2^164593656 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 164593656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237744000).

164593656 is an abundant number, since it is smaller than the sum of its proper divisors (310894344).

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

164593656 is a wasteful number, since it uses less digits than its factorization.

164593656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1626 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 164593656 is about 12829.4059098619. The cubic root of 164593656 is about 548.0300390233.

The spelling of 164593656 in words is "one hundred sixty-four million, five hundred ninety-three thousand, six hundred fifty-six".