5589120 has 128 divisors (see below), whose sum is σ = 18506880. Its totient is φ = 1433600.

The previous prime is 5589019. The next prime is 5589127. The reversal of 5589120 is 219855.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5589127) 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 15 ways as a sum of consecutive naturals, for example, 78685 + ... + 78755.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

Almost surely, 2^5589120 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 5589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253440).

5589120 is an abundant number, since it is smaller than the sum of its proper divisors (12917760).

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

5589120 is a wasteful number, since it uses less digits than its factorization.

5589120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 5589120 is about 2364.1319760115. The cubic root of 5589120 is about 177.4657210800.

The spelling of 5589120 in words is "five million, five hundred eighty-nine thousand, one hundred twenty".