54060 has 48 divisors (see below), whose sum is σ = 163296. Its totient is φ = 13312.

The previous prime is 54059. The next prime is 54083. The reversal of 54060 is 6045.

54060 = T₁₆ + T₁₇ + ... + T₆₈.

54060 is digitally balanced in base 2, because in such base 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2⁵⁴⁰⁶⁰ 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 54060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648).

54060 is an abundant number, since it is smaller than the sum of its proper divisors (109236).

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

54060 is a wasteful number, since it uses less digits than its factorization.

54060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 54060 is about 232.5080643763. The cubic root of 54060 is about 37.8116254380.

Subtracting from 54060 its sum of digits (15), we obtain a palindrome (54045).

It can be divided in two parts, 540 and 60, that multiplied together give a square (32400 = 180²).

The spelling of 54060 in words is "fifty-four thousand, sixty", and thus it is an eban number.