10808 has 16 divisors (see below), whose sum is σ = 23280. Its totient is φ = 4608.

The previous prime is 10799. The next prime is 10831. The reversal of 10808 is 80801.

10808 = T₅₇ + T₅₈ + ... + T₆₂.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (1455).

2¹⁰⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

10808 is an abundant number, since it is smaller than the sum of its proper divisors (12472).

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 (11640).

10808 is a wasteful number, since it uses less digits than its factorization.

10808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 10808 is about 103.9615313469. The cubic root of 10808 is about 22.1096454692.

It can be divided in two parts, 10 and 808, that added together give a palindrome (818).

The spelling of 10808 in words is "ten thousand, eight hundred eight".