85638 has 16 divisors (see below), whose sum is σ = 195840. Its totient is φ = 24456.

The previous prime is 85627. The next prime is 85639. The reversal of 85638 is 83658.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 978 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (12240).

2⁸⁵⁶³⁸ is an apocalyptic number.

85638 is an abundant number, since it is smaller than the sum of its proper divisors (110202).

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 (97920).

85638 is a wasteful number, since it uses less digits than its factorization.

85638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051.

The product of its digits is 5760, while the sum is 30.

The square root of 85638 is about 292.6397102240. The cubic root of 85638 is about 44.0780295846.

The spelling of 85638 in words is "eighty-five thousand, six hundred thirty-eight".