54240 has 48 divisors (see below), whose sum is σ = 172368. Its totient is φ = 14336.

The previous prime is 54217. The next prime is 54251. The reversal of 54240 is 4245.

54240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

2⁵⁴²⁴⁰ 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 54240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184).

54240 is an abundant number, since it is smaller than the sum of its proper divisors (118128).

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

54240 is a wasteful number, since it uses less digits than its factorization.

54240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

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

The square root of 54240 is about 232.8948260482. The cubic root of 54240 is about 37.8535452344.

Adding to 54240 its reverse (4245), we get a palindrome (58485).

The spelling of 54240 in words is "fifty-four thousand, two hundred forty".