164185920 has 224 divisors, whose sum is σ = 598871040. Its totient is φ = 42301440.

The previous prime is 164185871. The next prime is 164185921. The reversal of 164185920 is 29581461.

164185920 is a `hidden beast` number, since 1 + 64 + 1 + 8 + 592 + 0 = 666.

164185920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164185921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267534 + ... + 268146.

Almost surely, 2^164185920 is an apocalyptic number.

164185920 is a gapful number since it is divisible by the number (10) 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 164185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299435520).

164185920 is an abundant number, since it is smaller than the sum of its proper divisors (434685120).

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

164185920 is a wasteful number, since it uses less digits than its factorization.

164185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 164185920 is about 12813.5053751891. The cubic root of 164185920 is about 547.5771330622.

The spelling of 164185920 in words is "one hundred sixty-four million, one hundred eighty-five thousand, nine hundred twenty".