164530656 has 96 divisors (see below), whose sum is σ = 489071520. Its totient is φ = 53793792.

The previous prime is 164530649. The next prime is 164530669. The reversal of 164530656 is 656035461.

164530656 is a `hidden beast` number, since 1 + 64 + 530 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 164530656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43996 + ... + 47588.

It is an arithmetic number, because the mean of its divisors is an integer number (5094495).

Almost surely, 2^164530656 is an apocalyptic number.

164530656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164530656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244535760).

164530656 is an abundant number, since it is smaller than the sum of its proper divisors (324540864).

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

164530656 is a wasteful number, since it uses less digits than its factorization.

164530656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3651 counting only the distinct ones).

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

The square root of 164530656 is about 12826.9503780127. The cubic root of 164530656 is about 547.9601086276.

The spelling of 164530656 in words is "one hundred sixty-four million, five hundred thirty thousand, six hundred fifty-six".