55260 has 36 divisors (see below), whose sum is σ = 168168. Its totient is φ = 14688.

The previous prime is 55259. The next prime is 55291. The reversal of 55260 is 6255.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27 + ... + 333.

2⁵⁵²⁶⁰ 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 55260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84084).

55260 is an abundant number, since it is smaller than the sum of its proper divisors (112908).

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

55260 is a wasteful number, since it uses less digits than its factorization.

55260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55260 is about 235.0744562899. The cubic root of 55260 is about 38.0893557386.

Adding to 55260 its sum of digits (18), we get a triangular number (55278 = T₃₃₂).

The spelling of 55260 in words is "fifty-five thousand, two hundred sixty".