164044656 has 80 divisors (see below), whose sum is σ = 481873920. Its totient is φ = 53403840.

The previous prime is 164044637. The next prime is 164044669. The reversal of 164044656 is 656440461.

164044656 is a `hidden beast` number, since 1 + 640 + 4 + 4 + 6 + 5 + 6 = 666.

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 164044656.

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, 14161 + ... + 22991.

It is an arithmetic number, because the mean of its divisors is an integer number (6023424).

Almost surely, 2^164044656 is an apocalyptic number.

164044656 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 164044656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240936960).

164044656 is an abundant number, since it is smaller than the sum of its proper divisors (317829264).

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

164044656 is a wasteful number, since it uses less digits than its factorization.

164044656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8891 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 164044656 is about 12807.9918800724. The cubic root of 164044656 is about 547.4200446198.

The spelling of 164044656 in words is "one hundred sixty-four million, forty-four thousand, six hundred fifty-six".