85556544 has 112 divisors (see below), whose sum is σ = 243840000. Its totient is φ = 26390016.

The previous prime is 85556531. The next prime is 85556551. The reversal of 85556544 is 44565558.

It is a junction number, because it is equal to n+sod(n) for n = 85556496 and 85556505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171207 + ... + 171705.

Almost surely, 2^85556544 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 85556544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121920000).

85556544 is an abundant number, since it is smaller than the sum of its proper divisors (158283456).

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

85556544 is a wasteful number, since it uses less digits than its factorization.

85556544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its digits is 480000, while the sum is 42.

The square root of 85556544 is about 9249.6780484512. The cubic root of 85556544 is about 440.6404996912.

The spelling of 85556544 in words is "eighty-five million, five hundred fifty-six thousand, five hundred forty-four".