55264 has 24 divisors (see below), whose sum is σ = 119448. Its totient is φ = 24960.

The previous prime is 55259. The next prime is 55291. The reversal of 55264 is 46255.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

55264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 274 + ... + 430.

It is an arithmetic number, because the mean of its divisors is an integer number (4977).

2⁵⁵²⁶⁴ 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 55264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59724).

55264 is an abundant number, since it is smaller than the sum of its proper divisors (64184).

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

55264 is a wasteful number, since it uses less digits than its factorization.

55264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its digits is 1200, while the sum is 22.

The square root of 55264 is about 235.0829640786. The cubic root of 55264 is about 38.0902747502.

Subtracting from 55264 its reverse (46255), we obtain a palindrome (9009).

It can be divided in two parts, 552 and 64, that added together give a palindrome (616).

The spelling of 55264 in words is "fifty-five thousand, two hundred sixty-four".