164180 has 12 divisors (see below), whose sum is σ = 344820. Its totient is φ = 65664.

The previous prime is 164173. The next prime is 164183. The reversal of 164180 is 81461.

It can be written as a sum of positive squares in 2 ways, for example, as 31684 + 132496 = 178^2 + 364^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 8209 = 164180 / (1 + 6 + 4 + 1 + 8 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164183) by changing a digit.

164180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4085 + ... + 4124.

It is an arithmetic number, because the mean of its divisors is an integer number (28735).

2¹⁶⁴¹⁸⁰ is an apocalyptic number.

164180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164180 is an abundant number, since it is smaller than the sum of its proper divisors (180640).

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

164180 is a wasteful number, since it uses less digits than its factorization.

164180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8218 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 164180 is about 405.1913128388. The cubic root of 164180 is about 54.7570551711.

The spelling of 164180 in words is "one hundred sixty-four thousand, one hundred eighty".