36180 has 48 divisors (see below), whose sum is σ = 114240. Its totient is φ = 9504.

The previous prime is 36161. The next prime is 36187. The reversal of 36180 is 8163.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36187) by changing a digit.

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, 507 + ... + 573.

It is an arithmetic number, because the mean of its divisors is an integer number (2380).

2³⁶¹⁸⁰ is an apocalyptic number.

36180 is a gapful number since it is divisible by the number (30) 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 36180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57120).

36180 is an abundant number, since it is smaller than the sum of its proper divisors (78060).

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

36180 is a wasteful number, since it uses less digits than its factorization.

36180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 36180 is about 190.2104098098. The cubic root of 36180 is about 33.0742131435.

It can be divided in two parts, 361 and 80, that added together give a square (441 = 21²).

The spelling of 36180 in words is "thirty-six thousand, one hundred eighty".