5631584 has 48 divisors (see below), whose sum is σ = 13095936. Its totient is φ = 2332800.

The previous prime is 5631583. The next prime is 5631589. The reversal of 5631584 is 4851365.

It is a happy number.

5631584 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

5631584 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 5631584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5631583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6539 + ... + 7349.

It is an arithmetic number, because the mean of its divisors is an integer number (272832).

Almost surely, 2^5631584 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 5631584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547968).

5631584 is an abundant number, since it is smaller than the sum of its proper divisors (7464352).

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

5631584 is a wasteful number, since it uses less digits than its factorization.

5631584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 851 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 5631584 is about 2373.0958682700. The cubic root of 5631584 is about 177.9140265708.

The spelling of 5631584 in words is "five million, six hundred thirty-one thousand, five hundred eighty-four".