54024144 has 80 divisors (see below), whose sum is σ = 150972480. Its totient is φ = 16588800.

The previous prime is 54024143. The next prime is 54024241. The reversal of 54024144 is 44142045.

It is a happy number.

54024144 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54024143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32944 + ... + 34544.

It is an arithmetic number, because the mean of its divisors is an integer number (1887156).

Almost surely, 2^54024144 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 54024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75486240).

54024144 is an abundant number, since it is smaller than the sum of its proper divisors (96948336).

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

54024144 is a wasteful number, since it uses less digits than its factorization.

54024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 54024144 is about 7350.1118358839. Note that the first 3 decimals coincide. The cubic root of 54024144 is about 378.0326390450.

Adding to 54024144 its reverse (44142045), we get a palindrome (98166189).

The spelling of 54024144 in words is "fifty-four million, twenty-four thousand, one hundred forty-four".