164560032 has 432 divisors, whose sum is σ = 630866880. Its totient is φ = 41513472.

The previous prime is 164560013. The next prime is 164560049. The reversal of 164560032 is 230065461.

164560032 is a `hidden beast` number, since 16 + 45 + 600 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 164559978 and 164560005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7154773 + ... + 7154795.

It is an arithmetic number, because the mean of its divisors is an integer number (1460340).

Almost surely, 2^164560032 is an apocalyptic number.

164560032 is a gapful number since it is divisible by the number (12) 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 164560032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315433440).

164560032 is an abundant number, since it is smaller than the sum of its proper divisors (466306848).

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

164560032 is a wasteful number, since it uses less digits than its factorization.

164560032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 164560032 is about 12828.0954159220. The cubic root of 164560032 is about 547.9927183930.

The spelling of 164560032 in words is "one hundred sixty-four million, five hundred sixty thousand, thirty-two".