54624 has 24 divisors (see below), whose sum is σ = 143640. Its totient is φ = 18176.

The previous prime is 54623. The next prime is 54629. The reversal of 54624 is 42645.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54623) 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 3 ways as a sum of consecutive naturals, for example, 189 + ... + 380.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2⁵⁴⁶²⁴ is an apocalyptic number.

It is an amenable number.

54624 is an abundant number, since it is smaller than the sum of its proper divisors (89016).

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 (71820).

54624 is a wasteful number, since it uses less digits than its factorization.

54624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 54624 is about 233.7177785279. The cubic root of 54624 is about 37.9426651519.

Adding to 54624 its sum of digits (21), we get a palindrome (54645).

The spelling of 54624 in words is "fifty-four thousand, six hundred twenty-four".