164839180 has 48 divisors (see below), whose sum is σ = 379320480. Its totient is φ = 59673600.

The previous prime is 164839153. The next prime is 164839201. The reversal of 164839180 is 81938461.

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, 51466 + ... + 54574.

It is an arithmetic number, because the mean of its divisors is an integer number (7902510).

Almost surely, 2^164839180 is an apocalyptic number.

164839180 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 164839180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189660240).

164839180 is an abundant number, since it is smaller than the sum of its proper divisors (214481300).

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

164839180 is a wasteful number, since it uses less digits than its factorization.

164839180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 164839180 is about 12838.9711425799. The cubic root of 164839180 is about 548.3024020476.

The spelling of 164839180 in words is "one hundred sixty-four million, eight hundred thirty-nine thousand, one hundred eighty".