55590 has 32 divisors (see below), whose sum is σ = 142560. Its totient is φ = 13824.

The previous prime is 55589. The next prime is 55603. The reversal of 55590 is 9555.

55590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55590.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456 + ... + 564.

It is an arithmetic number, because the mean of its divisors is an integer number (4455).

2⁵⁵⁵⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71280).

55590 is an abundant number, since it is smaller than the sum of its proper divisors (86970).

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

55590 is a wasteful number, since it uses less digits than its factorization.

55590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 55590 is about 235.7753167743. The cubic root of 55590 is about 38.1650255985.

The spelling of 55590 in words is "fifty-five thousand, five hundred ninety".