20833920 has 96 divisors (see below), whose sum is σ = 71962020. Its totient is φ = 5554176.

The previous prime is 20833909. The next prime is 20833927. The reversal of 20833920 is 2933802.

It can be written as a sum of positive squares in 2 ways, for example, as 17239104 + 3594816 = 4152^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20833927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3952 + ... + 7568.

Almost surely, 2^20833920 is an apocalyptic number.

20833920 is a gapful number since it is divisible by the number (20) 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 20833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35981010).

20833920 is an abundant number, since it is smaller than the sum of its proper divisors (51128100).

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

20833920 is a wasteful number, since it uses less digits than its factorization.

20833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20833920 is about 4564.4189115374. The cubic root of 20833920 is about 275.1631868912.

The spelling of 20833920 in words is "twenty million, eight hundred thirty-three thousand, nine hundred twenty".