5239584 has 144 divisors (see below), whose sum is σ = 17926272. Its totient is φ = 1419264.

The previous prime is 5239583. The next prime is 5239603. The reversal of 5239584 is 4859325.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a d-powerful number, because it can be written as 5³ + 2¹⁶ + 3¹⁴ + 9 + 5⁸ + 8² + 4⁴ .

It is not an unprimeable number, because it can be changed into a prime (5239583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46312 + ... + 46424.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 2^5239584 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 5239584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

5239584 is an abundant number, since it is smaller than the sum of its proper divisors (12686688).

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

5239584 is a wasteful number, since it uses less digits than its factorization.

5239584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 5239584 is about 2289.0137614265. The cubic root of 5239584 is about 173.6863155320.

The spelling of 5239584 in words is "five million, two hundred thirty-nine thousand, five hundred eighty-four".