85646 has 16 divisors (see below), whose sum is σ = 149040. Its totient is φ = 36480.

The previous prime is 85643. The next prime is 85661. The reversal of 85646 is 64658.

It is a Curzon number.

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 85646.

It is not an unprimeable number, because it can be changed into a prime (85643) 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, 260 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (9315).

2⁸⁵⁶⁴⁶ is an apocalyptic number.

85646 is a deficient number, since it is larger than the sum of its proper divisors (63394).

85646 is a wasteful number, since it uses less digits than its factorization.

85646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259.

The product of its digits is 5760, while the sum is 29.

The square root of 85646 is about 292.6533785898. The cubic root of 85646 is about 44.0794020799.

The spelling of 85646 in words is "eighty-five thousand, six hundred forty-six".