5585580 has 288 divisors, whose sum is σ = 23482368. Its totient is φ = 1036800.

The previous prime is 5585579. The next prime is 5585597. The reversal of 5585580 is 855855.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180165 + ... + 180195.

It is an arithmetic number, because the mean of its divisors is an integer number (81536).

Almost surely, 2^5585580 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 5585580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741184).

5585580 is an abundant number, since it is smaller than the sum of its proper divisors (17896788).

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

5585580 is a wasteful number, since it uses less digits than its factorization.

5585580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 5585580 is about 2363.3831682569. The cubic root of 5585580 is about 177.4282458106.

It can be divided in two parts, 5 and 585580, that added together give a palindrome (585585).

The spelling of 5585580 in words is "five million, five hundred eighty-five thousand, five hundred eighty".