164635506 has 48 divisors (see below), whose sum is σ = 409863168. Its totient is φ = 46785600.

The previous prime is 164635489. The next prime is 164635511. The reversal of 164635506 is 605536461.

164635506 is a `hidden beast` number, since 1 + 646 + 3 + 5 + 5 + 0 + 6 = 666.

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, 20646 + ... + 27486.

It is an arithmetic number, because the mean of its divisors is an integer number (8538816).

Almost surely, 2^164635506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164635506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204931584).

164635506 is an abundant number, since it is smaller than the sum of its proper divisors (245227662).

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

164635506 is a wasteful number, since it uses less digits than its factorization.

164635506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 164635506 is about 12831.0368248244. The cubic root of 164635506 is about 548.0764829226.

The spelling of 164635506 in words is "one hundred sixty-four million, six hundred thirty-five thousand, five hundred six".