54584144 has 40 divisors (see below), whose sum is σ = 113553000. Its totient is φ = 25325568.

The previous prime is 54584143. The next prime is 54584237. The reversal of 54584144 is 44148545.

It can be written as a sum of positive squares in 4 ways, for example, as 6697744 + 47886400 = 2588^2 + 6920^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54584143) 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, 18482 + ... + 21230.

It is an arithmetic number, because the mean of its divisors is an integer number (2838825).

Almost surely, 2^54584144 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 54584144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56776500).

54584144 is an abundant number, since it is smaller than the sum of its proper divisors (58968856).

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

54584144 is a wasteful number, since it uses less digits than its factorization.

54584144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2841 counting only the distinct ones).

The product of its digits is 51200, while the sum is 35.

The square root of 54584144 is about 7388.1082829098. The cubic root of 54584144 is about 379.3343471100.

The spelling of 54584144 in words is "fifty-four million, five hundred eighty-four thousand, one hundred forty-four".