20824768 has 28 divisors (see below), whose sum is σ = 41724072. Its totient is φ = 10311680.

The previous prime is 20824763. The next prime is 20824781. The reversal of 20824768 is 86742802.

It is not an unprimeable number, because it can be changed into a prime (20824763) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5328 + ... + 8368.

Almost surely, 2^20824768 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 20824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20862036).

20824768 is an abundant number, since it is smaller than the sum of its proper divisors (20899304).

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

20824768 is a wasteful number, since it uses less digits than its factorization.

20824768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 20824768 is about 4563.4162641600. The cubic root of 20824768 is about 275.1228894288.

It can be divided in two parts, 208 and 24768, that added together give a triangular number (24976 = T₂₂₃).

The spelling of 20824768 in words is "twenty million, eight hundred twenty-four thousand, seven hundred sixty-eight".