5563584 has 84 divisors (see below), whose sum is σ = 17196816. Its totient is φ = 1709568.

The previous prime is 5563583. The next prime is 5563589. The reversal of 5563584 is 4853655.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (5563583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7117 + ... + 7859.

It is an arithmetic number, because the mean of its divisors is an integer number (204724).

Almost surely, 2^5563584 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 5563584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598408).

5563584 is an abundant number, since it is smaller than the sum of its proper divisors (11633232).

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

5563584 is a wasteful number, since it uses less digits than its factorization.

5563584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 761 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5563584 is about 2358.7250793596. The cubic root of 5563584 is about 177.1950354195.

The spelling of 5563584 in words is "five million, five hundred sixty-three thousand, five hundred eighty-four".