5407584 has 96 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 1423872.

The previous prime is 5407583. The next prime is 5407631. The reversal of 5407584 is 4857045.

5407584 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5407583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8427 + ... + 9045.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 2^5407584 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 5407584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

5407584 is an abundant number, since it is smaller than the sum of its proper divisors (12091296).

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

5407584 is a wasteful number, since it uses less digits than its factorization.

5407584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 5407584 is about 2325.4212521606. The cubic root of 5407584 is about 175.5231582820.

The spelling of 5407584 in words is "five million, four hundred seven thousand, five hundred eighty-four".