85808 has 20 divisors (see below), whose sum is σ = 172608. Its totient is φ = 41280.

The previous prime is 85793. The next prime is 85817. The reversal of 85808 is 80858.

85808 is an admirable 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, 410 + ... + 582.

2⁸⁵⁸⁰⁸ 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 85808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86304).

85808 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

85808 is a wasteful number, since it uses less digits than its factorization.

85808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 85808 is about 292.9300257741. The cubic root of 85808 is about 44.1071767397.

Subtracting from 85808 its reverse (80858), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 8 and 5808, that multiplied together give a palindrome (46464).

The spelling of 85808 in words is "eighty-five thousand, eight hundred eight".