85940 has 12 divisors (see below), whose sum is σ = 180516. Its totient is φ = 34368.

The previous prime is 85933. The next prime is 85991. The reversal of 85940 is 4958.

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 47524 = 196^2 + 218^2 .

It is a plaindrome in base 14.

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 85940.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2129 + ... + 2168.

It is an arithmetic number, because the mean of its divisors is an integer number (15043).

2⁸⁵⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

85940 is an abundant number, since it is smaller than the sum of its proper divisors (94576).

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 (90258).

85940 is a wasteful number, since it uses less digits than its factorization.

85940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 85940 is about 293.1552489723. The cubic root of 85940 is about 44.1297821084.

The spelling of 85940 in words is "eighty-five thousand, nine hundred forty".