27180 has 36 divisors (see below), whose sum is σ = 82992. Its totient is φ = 7200.

The previous prime is 27179. The next prime is 27191. The reversal of 27180 is 8172.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 105 + ... + 255.

2²⁷¹⁸⁰ is an apocalyptic number.

27180 is a gapful number since it is divisible by the number (20) 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 27180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41496).

27180 is an abundant number, since it is smaller than the sum of its proper divisors (55812).

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

27180 is a wasteful number, since it uses less digits than its factorization.

27180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 27180 is about 164.8635799684. The cubic root of 27180 is about 30.0665190648.

It can be divided in two parts, 271 and 80, that added together give a triangular number (351 = T₂₆).

The spelling of 27180 in words is "twenty-seven thousand, one hundred eighty".