85810844 has 48 divisors (see below), whose sum is σ = 178062528. Its totient is φ = 35417088.

The previous prime is 85810841. The next prime is 85810867. The reversal of 85810844 is 44801858.

It is a junction number, because it is equal to n+sod(n) for n = 85810798 and 85810807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85810841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116702 + ... + 117434.

It is an arithmetic number, because the mean of its divisors is an integer number (3709636).

Almost surely, 2^85810844 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 85810844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89031264).

85810844 is an abundant number, since it is smaller than the sum of its proper divisors (92251684).

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

85810844 is a wasteful number, since it uses less digits than its factorization.

85810844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 85810844 is about 9263.4142733659. The cubic root of 85810844 is about 441.0766402692.

The spelling of 85810844 in words is "eighty-five million, eight hundred ten thousand, eight hundred forty-four".