20005824 has 56 divisors (see below), whose sum is σ = 54772560. Its totient is φ = 6436864.

The previous prime is 20005823. The next prime is 20005829. The reversal of 20005824 is 42850002.

It is a self number, because there is not a number n which added to its sum of digits gives 20005824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20005823) 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, 3772 + ... + 7364.

Almost surely, 2^20005824 is an apocalyptic number.

20005824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27386280).

20005824 is an abundant number, since it is smaller than the sum of its proper divisors (34766736).

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

20005824 is a wasteful number, since it uses less digits than its factorization.

20005824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 20005824 is about 4472.7870505983. The cubic root of 20005824 is about 271.4681070494.

Adding to 20005824 its reverse (42850002), we get a palindrome (62855826).

The spelling of 20005824 in words is "twenty million, five thousand, eight hundred twenty-four".