55320 has 32 divisors (see below), whose sum is σ = 166320. Its totient is φ = 14720.

The previous prime is 55313. The next prime is 55331. The reversal of 55320 is 2355.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 55320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 350.

It is the magic constant of a 48 × 48 magic square.

2⁵⁵³²⁰ is an apocalyptic number.

It is an amenable number.

55320 is an abundant number, since it is smaller than the sum of its proper divisors (111000).

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 (83160).

55320 is a wasteful number, since it uses less digits than its factorization.

55320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 55320 is about 235.2020408075. The cubic root of 55320 is about 38.1031362592.

Adding to 55320 its reverse (2355), we get a palindrome (57675).

The spelling of 55320 in words is "fifty-five thousand, three hundred twenty".