85860 has 60 divisors (see below), whose sum is σ = 274428. Its totient is φ = 22464.

The previous prime is 85853. The next prime is 85889. The reversal of 85860 is 6858.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 39204 = 216^2 + 198^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 85860.

It is an unprimeable number.

85860 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 19 ways as a sum of consecutive naturals, for example, 1594 + ... + 1646.

2⁸⁵⁸⁶⁰ 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 85860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137214).

85860 is an abundant number, since it is smaller than the sum of its proper divisors (188568).

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

85860 is a wasteful number, since it uses less digits than its factorization.

85860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 63 counting only the distinct ones).

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

The square root of 85860 is about 293.0187707298. The cubic root of 85860 is about 44.1160846506.

The spelling of 85860 in words is "eighty-five thousand, eight hundred sixty".