54344144 has 40 divisors (see below), whose sum is σ = 109713960. Its totient is φ = 26044928.

The previous prime is 54344117. The next prime is 54344149. The reversal of 54344144 is 44144345.

It can be written as a sum of positive squares in 4 ways, for example, as 38440000 + 15904144 = 6200^2 + 3988^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54344149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79934 + ... + 80610.

It is an arithmetic number, because the mean of its divisors is an integer number (2742849).

Almost surely, 2^54344144 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 54344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54856980).

54344144 is an abundant number, since it is smaller than the sum of its proper divisors (55369816).

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

54344144 is a wasteful number, since it uses less digits than its factorization.

54344144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 881 counting only the distinct ones).

The product of its digits is 15360, while the sum is 29.

The square root of 54344144 is about 7371.8480722272. The cubic root of 54344144 is about 378.7775675854. Note that the first 3 decimals are identical.

Adding to 54344144 its reverse (44144345), we get a palindrome (98488489).

The spelling of 54344144 in words is "fifty-four million, three hundred forty-four thousand, one hundred forty-four".