85908 has 12 divisors (see below), whose sum is σ = 200480. Its totient is φ = 28632.

The previous prime is 85903. The next prime is 85909. The reversal of 85908 is 80958.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85903) by changing a digit.

85908 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3568 + ... + 3591.

2⁸⁵⁹⁰⁸ is an apocalyptic number.

It is an amenable number.

85908 is an abundant number, since it is smaller than the sum of its proper divisors (114572).

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 (100240).

85908 is a wasteful number, since it uses less digits than its factorization.

85908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166 (or 7164 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 85908 is about 293.1006653012. The cubic root of 85908 is about 44.1243041458.

Adding to 85908 its product of nonzero digits (2880), we get a palindrome (88788).

Subtracting from 85908 its product of nonzero digits (2880), we obtain a triangular number (83028 = T₄₀₇).

Subtracting from 85908 its reverse (80958), we obtain a triangular number (4950 = T₉₉).

The spelling of 85908 in words is "eighty-five thousand, nine hundred eight".