54384 has 40 divisors (see below), whose sum is σ = 154752. Its totient is φ = 16320.

The previous prime is 54377. The next prime is 54401. The reversal of 54384 is 48345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 477 + ... + 579.

2⁵⁴³⁸⁴ 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 54384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77376).

54384 is an abundant number, since it is smaller than the sum of its proper divisors (100368).

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

54384 is a wasteful number, since it uses less digits than its factorization.

54384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 54384 is about 233.2037735544. The cubic root of 54384 is about 37.8870143458.

It can be divided in two parts, 54 and 384, that multiplied together give a 4-th power (20736 = 12⁴).

The spelling of 54384 in words is "fifty-four thousand, three hundred eighty-four".