20888 has 16 divisors (see below), whose sum is σ = 44880. Its totient is φ = 8928.

The previous prime is 20887. The next prime is 20897. The reversal of 20888 is 88802.

It is a Smith number, since the sum of its digits (26) 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 (20887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131 + ... + 242.

It is an arithmetic number, because the mean of its divisors is an integer number (2805).

2²⁰⁸⁸⁸ is an apocalyptic number.

20888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20888 is an abundant number, since it is smaller than the sum of its proper divisors (23992).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22440).

20888 is a wasteful number, since it uses less digits than its factorization.

20888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 20888 is about 144.5268141211. The cubic root of 20888 is about 27.5401067680.

Adding to 20888 its product of nonzero digits (1024), we get a palindrome (21912).

The spelling of 20888 in words is "twenty thousand, eight hundred eighty-eight".