66180 has 24 divisors (see below), whose sum is σ = 185472. Its totient is φ = 17632.

The previous prime is 66179. The next prime is 66191. The reversal of 66180 is 8166.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (7728).

2⁶⁶¹⁸⁰ is an apocalyptic number.

66180 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66180 is an abundant number, since it is smaller than the sum of its proper divisors (119292).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92736).

66180 is a wasteful number, since it uses less digits than its factorization.

66180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 66180 is about 257.2547375657. The cubic root of 66180 is about 40.4491054037.

It can be divided in two parts, 661 and 80, that added together give a triangular number (741 = T₃₈).

The spelling of 66180 in words is "sixty-six thousand, one hundred eighty".