55824 has 20 divisors (see below), whose sum is σ = 144336. Its totient is φ = 18592.

The previous prime is 55823. The next prime is 55829. The reversal of 55824 is 42855.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 55794 and 55803.

It is not an unprimeable number, because it can be changed into a prime (55823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 534 + ... + 629.

2⁵⁵⁸²⁴ is an apocalyptic number.

It is an amenable number.

55824 is an abundant number, since it is smaller than the sum of its proper divisors (88512).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72168).

55824 is a wasteful number, since it uses less digits than its factorization.

55824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1168 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 55824 is about 236.2710308100. The cubic root of 55824 is about 38.2185011300.

The spelling of 55824 in words is "fifty-five thousand, eight hundred twenty-four".