85608 has 48 divisors (see below), whose sum is σ = 245700. Its totient is φ = 26880.

The previous prime is 85607. The next prime is 85619. The reversal of 85608 is 80658.

85608 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 6084 = 282^2 + 78^2 .

It is not an unprimeable number, because it can be changed into a prime (85601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2068 + ... + 2108.

2⁸⁵⁶⁰⁸ 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 85608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122850).

85608 is an abundant number, since it is smaller than the sum of its proper divisors (160092).

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

85608 is a wasteful number, since it uses less digits than its factorization.

85608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85608 is about 292.5884481657. The cubic root of 85608 is about 44.0728819659.

Subtracting from 85608 its reverse (80658), we obtain a triangular number (4950 = T₉₉).

The spelling of 85608 in words is "eighty-five thousand, six hundred eight".