5527584 has 72 divisors (see below), whose sum is σ = 16658460. Its totient is φ = 1732608.

The previous prime is 5527573. The next prime is 5527589. The reversal of 5527584 is 4857255.

It is a happy number.

5527584 is a `hidden beast` number, since 55 + 27 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5475600 + 51984 = 2340^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (5527589) 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 11 ways as a sum of consecutive naturals, for example, 4332 + ... + 5460.

Almost surely, 2^5527584 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 5527584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8329230).

5527584 is an abundant number, since it is smaller than the sum of its proper divisors (11130876).

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

5527584 is a wasteful number, since it uses less digits than its factorization.

5527584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1151 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The square root of 5527584 is about 2351.0814532891. The cubic root of 5527584 is about 176.8120191388.

The spelling of 5527584 in words is "five million, five hundred twenty-seven thousand, five hundred eighty-four".