54180 has 72 divisors (see below), whose sum is σ = 192192. Its totient is φ = 12096.

The previous prime is 54167. The next prime is 54181. The reversal of 54180 is 8145.

54180 = T₁₅ + T₁₆ + ... + T₆₈.

54180 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (54181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1239 + ... + 1281.

2⁵⁴¹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96096).

54180 is an abundant number, since it is smaller than the sum of its proper divisors (138012).

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

54180 is a wasteful number, since it uses less digits than its factorization.

54180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 54180 is about 232.7659768952. The cubic root of 54180 is about 37.8395822877.

The spelling of 54180 in words is "fifty-four thousand, one hundred eighty".