5589600 has 144 divisors (see below), whose sum is σ = 19405008. Its totient is φ = 1392640.

The previous prime is 5589593. The next prime is 5589611. The reversal of 5589600 is 69855.

5589600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40732 + ... + 40868.

It is an arithmetic number, because the mean of its divisors is an integer number (134757).

Almost surely, 2^5589600 is an apocalyptic number.

5589600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5589600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9702504).

5589600 is an abundant number, since it is smaller than the sum of its proper divisors (13815408).

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

5589600 is a wasteful number, since it uses less digits than its factorization.

5589600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5589600 is about 2364.2334910072. The cubic root of 5589600 is about 177.4708012541.

The spelling of 5589600 in words is "five million, five hundred eighty-nine thousand, six hundred".