85860544 has 168 divisors, whose sum is σ = 229331520. Its totient is φ = 31449600.

The previous prime is 85860529. The next prime is 85860547. The reversal of 85860544 is 44506858.

It is a junction number, because it is equal to n+sod(n) for n = 85860497 and 85860506.

It is not an unprimeable number, because it can be changed into a prime (85860547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655359 + ... + 655489.

Almost surely, 2^85860544 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 85860544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114665760).

85860544 is an abundant number, since it is smaller than the sum of its proper divisors (143470976).

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

85860544 is a wasteful number, since it uses less digits than its factorization.

85860544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 85860544 is about 9266.0964812590. The cubic root of 85860544 is about 441.1617782199.

The spelling of 85860544 in words is "eighty-five million, eight hundred sixty thousand, five hundred forty-four".