5379584 has 80 divisors (see below), whose sum is σ = 13094400. Its totient is φ = 2156544.

The previous prime is 5379581. The next prime is 5379607. The reversal of 5379584 is 4859735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5379581) 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, 68057 + ... + 68135.

It is an arithmetic number, because the mean of its divisors is an integer number (163680).

Almost surely, 2^5379584 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 5379584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547200).

5379584 is an abundant number, since it is smaller than the sum of its proper divisors (7714816).

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

5379584 is an equidigital number, since it uses as much as digits as its factorization.

5379584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its digits is 151200, while the sum is 41.

The square root of 5379584 is about 2319.3930240475. The cubic root of 5379584 is about 175.2196860068.

The spelling of 5379584 in words is "five million, three hundred seventy-nine thousand, five hundred eighty-four".