55944 has 64 divisors (see below), whose sum is σ = 182400. Its totient is φ = 15552.

The previous prime is 55933. The next prime is 55949. The reversal of 55944 is 44955.

It is a super-2 number, since 2×55944² = 6259462272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is a nialpdrome in base 6 and base 16.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (55949) by changing a digit.

55944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1494 + ... + 1530.

It is an arithmetic number, because the mean of its divisors is an integer number (2850).

2⁵⁵⁹⁴⁴ is an apocalyptic number.

55944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91200).

55944 is an abundant number, since it is smaller than the sum of its proper divisors (126456).

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

55944 is a wasteful number, since it uses less digits than its factorization.

55944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 49 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 55944 is about 236.5248401331. The cubic root of 55944 is about 38.2458665276.

It can be divided in two parts, 55 and 944, that added together give a palindrome (999).

The spelling of 55944 in words is "fifty-five thousand, nine hundred forty-four".