85610 has 16 divisors (see below), whose sum is σ = 176256. Its totient is φ = 29328.

The previous prime is 85607. The next prime is 85619. The reversal of 85610 is 1658.

It is an Ulam number.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85610.

It is not an unprimeable number, because it can be changed into a prime (85619) 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, 542 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (11016).

2⁸⁵⁶¹⁰ is an apocalyptic number.

85610 is an abundant number, since it is smaller than the sum of its proper divisors (90646).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128).

85610 is a wasteful number, since it uses less digits than its factorization.

85610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 85610 is about 292.5918659156. The cubic root of 85610 is about 44.0732251779.

The spelling of 85610 in words is "eighty-five thousand, six hundred ten".