5005824 has 40 divisors (see below), whose sum is σ = 13339920. Its totient is φ = 1668096.

The previous prime is 5005823. The next prime is 5005859. The reversal of 5005824 is 4285005.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5005794 and 5005803.

It is not an unprimeable number, because it can be changed into a prime (5005823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94 + ... + 3165.

It is an arithmetic number, because the mean of its divisors is an integer number (333498).

Almost surely, 2^5005824 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 5005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6669960).

5005824 is an abundant number, since it is smaller than the sum of its proper divisors (8334096).

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

5005824 is an equidigital number, since it uses as much as digits as its factorization.

5005824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 5005824 is about 2237.3698844849. The cubic root of 5005824 is about 171.0639615724.

The spelling of 5005824 in words is "five million, five thousand, eight hundred twenty-four".