54944 has 24 divisors (see below), whose sum is σ = 115668. Its totient is φ = 25600.

The previous prime is 54941. The next prime is 54949. The reversal of 54944 is 44945.

54944 = T₃₉ + T₄₀ + ... + T₇₂.

It can be written as a sum of positive squares in 2 ways, for example, as 44944 + 10000 = 212^2 + 100^2 .

54944 is a Rhonda number in base 9.

Its product of digits (2880) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54944.

It is not an unprimeable number, because it can be changed into a prime (54941) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 494 + ... + 594.

2⁵⁴⁹⁴⁴ 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 54944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57834).

54944 is an abundant number, since it is smaller than the sum of its proper divisors (60724).

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

54944 is a wasteful number, since it uses less digits than its factorization.

54944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 54944 is about 234.4013651837. The cubic root of 54944 is about 38.0166132344.

Subtracting from 54944 its reverse (44945), we obtain a palindrome (9999).

The spelling of 54944 in words is "fifty-four thousand, nine hundred forty-four".