20879824 has 40 divisors (see below), whose sum is σ = 47371968. Its totient is φ = 8728320.

The previous prime is 20879821. The next prime is 20879863. The reversal of 20879824 is 42897802.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20879821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2319 + ... + 6865.

Almost surely, 2^20879824 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 20879824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23685984).

20879824 is an abundant number, since it is smaller than the sum of its proper divisors (26492144).

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

20879824 is a wasteful number, since it uses less digits than its factorization.

20879824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 20879824 is about 4569.4446052009. Note that the first 3 decimals coincide. The cubic root of 20879824 is about 275.3651304116.

It can be divided in two parts, 2087 and 9824, that added together give a palindrome (11911).

The spelling of 20879824 in words is "twenty million, eight hundred seventy-nine thousand, eight hundred twenty-four".