5585184 has 144 divisors (see below), whose sum is σ = 18162144. Its totient is φ = 1612800.

The previous prime is 5585179. The next prime is 5585189. The reversal of 5585184 is 4815855.

It is an interprime number because it is at equal distance from previous prime (5585179) and next prime (5585189).

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (32000) is a multiple of the sum of its prime divisors (100).

It is not an unprimeable number, because it can be changed into a prime (5585189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129867 + ... + 129909.

It is an arithmetic number, because the mean of its divisors is an integer number (126126).

Almost surely, 2^5585184 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 5585184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081072).

5585184 is an abundant number, since it is smaller than the sum of its proper divisors (12576960).

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

5585184 is a wasteful number, since it uses less digits than its factorization.

5585184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its digits is 32000, while the sum is 36.

The square root of 5585184 is about 2363.2993885668. The cubic root of 5585184 is about 177.4240526772.

The spelling of 5585184 in words is "five million, five hundred eighty-five thousand, one hundred eighty-four".