85044 has 24 divisors (see below), whose sum is σ = 209440. Its totient is φ = 26784.

The previous prime is 85037. The next prime is 85049. The reversal of 85044 is 44058.

85044 = T₄₇ + T₄₈ + ... + T₈₄.

It is a self number, because there is not a number n which added to its sum of digits gives 85044.

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 85044.

It is not an unprimeable number, because it can be changed into a prime (85049) by changing a digit.

85044 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 414.

2⁸⁵⁰⁴⁴ 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 85044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104720).

85044 is an abundant number, since it is smaller than the sum of its proper divisors (124396).

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

85044 is a wasteful number, since it uses less digits than its factorization.

85044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 85044 is about 291.6230443569. The cubic root of 85044 is about 43.9758820994.

The spelling of 85044 in words is "eighty-five thousand, forty-four".