5187584 has 48 divisors (see below), whose sum is σ = 11056500. Its totient is φ = 2424832.

The previous prime is 5187577. The next prime is 5187593. The reversal of 5187584 is 4857815.

It can be written as a sum of positive squares in 2 ways, for example, as 5161984 + 25600 = 2272^2 + 160^2 .

It is a super-2 number, since 2×5187584² = 53822055514112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 34742 + ... + 34890.

Almost surely, 2^5187584 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 5187584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528250).

5187584 is an abundant number, since it is smaller than the sum of its proper divisors (5868916).

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

5187584 is a wasteful number, since it uses less digits than its factorization.

5187584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its digits is 44800, while the sum is 38.

The square root of 5187584 is about 2277.6268351071. The cubic root of 5187584 is about 173.1098236815.

The spelling of 5187584 in words is "five million, one hundred eighty-seven thousand, five hundred eighty-four".