85944 has 16 divisors (see below), whose sum is σ = 214920. Its totient is φ = 28640.

The previous prime is 85933. The next prime is 85991. The reversal of 85944 is 44958.

It is a super-2 number, since 2×85944² = 14772742272, which contains 22 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

85944 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 3 ways as a sum of consecutive naturals, for example, 1767 + ... + 1814.

2⁸⁵⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

85944 is an abundant number, since it is smaller than the sum of its proper divisors (128976).

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 (107460).

85944 is a wasteful number, since it uses less digits than its factorization.

85944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3586 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 85944 is about 293.1620712166. The cubic root of 85944 is about 44.1304667582.

It can be divided in two parts, 859 and 44, that added together give a triangular number (903 = T₄₂).

The spelling of 85944 in words is "eighty-five thousand, nine hundred forty-four".