20338920 has 144 divisors (see below), whose sum is σ = 76960260. Its totient is φ = 4644864.

The previous prime is 20338867. The next prime is 20338933. The reversal of 20338920 is 2983302.

It can be written as a sum of positive squares in 2 ways, for example, as 20196036 + 142884 = 4494^2 + 378^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17064 + ... + 18216.

Almost surely, 2^20338920 is an apocalyptic number.

20338920 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 20338920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38480130).

20338920 is an abundant number, since it is smaller than the sum of its proper divisors (56621340).

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

20338920 is a wasteful number, since it uses less digits than its factorization.

20338920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1170 counting only the distinct ones).

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

The square root of 20338920 is about 4509.8691777035. The cubic root of 20338920 is about 272.9664653089.

The spelling of 20338920 in words is "twenty million, three hundred thirty-eight thousand, nine hundred twenty".