5136824 has 64 divisors (see below), whose sum is σ = 12441600. Its totient is φ = 1929600.

The previous prime is 5136811. The next prime is 5136841. The reversal of 5136824 is 4286315.

Its product of digits (5760) is a multiple of the sum of its prime divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18962 + ... + 19230.

It is an arithmetic number, because the mean of its divisors is an integer number (194400).

Almost surely, 2^5136824 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 5136824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220800).

5136824 is an abundant number, since it is smaller than the sum of its proper divisors (7304776).

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

5136824 is a wasteful number, since it uses less digits than its factorization.

5136824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 5136824 is about 2266.4562647446. The cubic root of 5136824 is about 172.5433511433.

It can be divided in two parts, 513 and 6824, that added together give a palindrome (7337).

The spelling of 5136824 in words is "five million, one hundred thirty-six thousand, eight hundred twenty-four".