86844 has 12 divisors (see below), whose sum is σ = 202664. Its totient is φ = 28944.

The previous prime is 86843. The next prime is 86851. The reversal of 86844 is 44868.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam 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 86844.

It is not an unprimeable number, because it can be changed into a prime (86843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3607 + ... + 3630.

2⁸⁶⁸⁴⁴ is an apocalyptic number.

It is an amenable number.

86844 is an abundant number, since it is smaller than the sum of its proper divisors (115820).

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 (101332).

86844 is a wasteful number, since it uses less digits than its factorization.

86844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244 (or 7242 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 86844 is about 294.6930606580. The cubic root of 86844 is about 44.2839759488.

The spelling of 86844 in words is "eighty-six thousand, eight hundred forty-four".