54024 has 16 divisors (see below), whose sum is σ = 135120. Its totient is φ = 18000.

The previous prime is 54013. The next prime is 54037. The reversal of 54024 is 42045.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53994 and 54012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1102 + ... + 1149.

It is an arithmetic number, because the mean of its divisors is an integer number (8445).

2⁵⁴⁰²⁴ is an apocalyptic number.

It is an amenable number.

54024 is an abundant number, since it is smaller than the sum of its proper divisors (81096).

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 (67560).

54024 is a wasteful number, since it uses less digits than its factorization.

54024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 54024 is about 232.4306348139. The cubic root of 54024 is about 37.8032303166.

Adding to 54024 its reverse (42045), we get a palindrome (96069).

The spelling of 54024 in words is "fifty-four thousand, twenty-four".