164580 has 48 divisors (see below), whose sum is σ = 498624. Its totient is φ = 40320.

The previous prime is 164569. The next prime is 164581. The reversal of 164580 is 85461.

It is a self number, because there is not a number n which added to its sum of digits gives 164580.

It is not an unprimeable number, because it can be changed into a prime (164581) by changing a digit.

164580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675 + ... + 885.

It is an arithmetic number, because the mean of its divisors is an integer number (10388).

2¹⁶⁴⁵⁸⁰ is an apocalyptic number.

164580 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 164580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249312).

164580 is an abundant number, since it is smaller than the sum of its proper divisors (334044).

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

164580 is a wasteful number, since it uses less digits than its factorization.

164580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 164580 is about 405.6846065603. The cubic root of 164580 is about 54.8014882292.

The spelling of 164580 in words is "one hundred sixty-four thousand, five hundred eighty".