85985856 has 168 divisors, whose sum is σ = 276258528. Its totient is φ = 25344000.

The previous prime is 85985843. The next prime is 85985863. The reversal of 85985856 is 65858958.

85985856 is a `hidden beast` number, since 8 + 59 + 8 + 585 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259611 + ... + 259941.

It is an arithmetic number, because the mean of its divisors is an integer number (1644396).

Almost surely, 2^85985856 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 85985856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138129264).

85985856 is an abundant number, since it is smaller than the sum of its proper divisors (190272672).

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

85985856 is a wasteful number, since it uses less digits than its factorization.

85985856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 54.

The square root of 85985856 is about 9272.8558707660. The cubic root of 85985856 is about 441.3762965895.

The spelling of 85985856 in words is "eighty-five million, nine hundred eighty-five thousand, eight hundred fifty-six".