5238624 has 48 divisors (see below), whose sum is σ = 13871088. Its totient is φ = 1731072.

The previous prime is 5238581. The next prime is 5238671. The reversal of 5238624 is 4268325.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 5⁹ + 2¹⁵ + 3⁵ + 8 + 6⁸ + 2¹⁹ + 4¹⁰ .

It is a junction number, because it is equal to n+sod(n) for n = 5238591 and 5238600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18774 + ... + 19050.

It is an arithmetic number, because the mean of its divisors is an integer number (288981).

Almost surely, 2^5238624 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 5238624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935544).

5238624 is an abundant number, since it is smaller than the sum of its proper divisors (8632464).

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

5238624 is a wasteful number, since it uses less digits than its factorization.

5238624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 5238624 is about 2288.8040545228. The cubic root of 5238624 is about 173.6757072440.

Subtracting from 5238624 its reverse (4268325), we obtain a cube (970299 = 99³).

The spelling of 5238624 in words is "five million, two hundred thirty-eight thousand, six hundred twenty-four".