85727556 has 54 divisors (see below), whose sum is σ = 222910506. Its totient is φ = 27763200.

The previous prime is 85727539. The next prime is 85727591. The reversal of 85727556 is 65572758.

85727556 is a `hidden beast` number, since 8 + 572 + 75 + 5 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11492100 + 74235456 = 3390^2 + 8616^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 355596 + ... + 355836.

Almost surely, 2^85727556 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 85727556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111455253).

85727556 is an abundant number, since it is smaller than the sum of its proper divisors (137182950).

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

85727556 is a wasteful number, since it uses less digits than its factorization.

85727556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 287 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 85727556 is about 9258.9176473279. The cubic root of 85727556 is about 440.9338910884.

The spelling of 85727556 in words is "eighty-five million, seven hundred twenty-seven thousand, five hundred fifty-six".