55536 has 40 divisors (see below), whose sum is σ = 156240. Its totient is φ = 16896.

The previous prime is 55529. The next prime is 55541. The reversal of 55536 is 63555.

55536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55536.

It is an unprimeable number.

55536 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 7 ways as a sum of consecutive naturals, for example, 580 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

2⁵⁵⁵³⁶ 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 55536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

55536 is an abundant number, since it is smaller than the sum of its proper divisors (100704).

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

55536 is a wasteful number, since it uses less digits than its factorization.

55536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its digits is 2250, while the sum is 24.

The square root of 55536 is about 235.6607731465. The cubic root of 55536 is about 38.1526637884.

The spelling of 55536 in words is "fifty-five thousand, five hundred thirty-six".