164601180 has 192 divisors, whose sum is σ = 549964800. Its totient is φ = 40746240.

The previous prime is 164601169. The next prime is 164601181. The reversal of 164601180 is 81106461.

164601180 is a `hidden beast` number, since 1 + 646 + 0 + 1 + 18 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164601181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 625729 + ... + 625991.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2^164601180 is an apocalyptic number.

164601180 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 164601180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

164601180 is an abundant number, since it is smaller than the sum of its proper divisors (385363620).

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

164601180 is a wasteful number, since it uses less digits than its factorization.

164601180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 164601180 is about 12829.6991391069. The cubic root of 164601180 is about 548.0383895176.

The spelling of 164601180 in words is "one hundred sixty-four million, six hundred one thousand, one hundred eighty".