5580 has 36 divisors (see below), whose sum is σ = 17472. Its totient is φ = 1440.

The previous prime is 5573. The next prime is 5581. The reversal of 5580 is 855.

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

It is a super-3 number, since 3×5580³ = 521223336000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (5581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165 + ... + 195.

2⁵⁵⁸⁰ 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 5580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736).

5580 is an abundant number, since it is smaller than the sum of its proper divisors (11892).

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

5580 is a wasteful number, since it uses less digits than its factorization.

5580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5580 is about 74.6993975879. The cubic root of 5580 is about 17.7369142460.

It can be divided in two parts, 5 and 580, that added together give a palindrome (585).

The spelling of 5580 in words is "five thousand, five hundred eighty".