85625856 has 176 divisors, whose sum is σ = 268566400. Its totient is φ = 26873856.

The previous prime is 85625833. The next prime is 85625867. The reversal of 85625856 is 65852658.

85625856 is a `hidden beast` number, since 8 + 5 + 62 + 585 + 6 = 666.

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, 525231 + ... + 525393.

Almost surely, 2^85625856 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 85625856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134283200).

85625856 is an abundant number, since it is smaller than the sum of its proper divisors (182940544).

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

85625856 is a wasteful number, since it uses less digits than its factorization.

85625856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 85625856 is about 9253.4240149255. The cubic root of 85625856 is about 440.7594597341.

The spelling of 85625856 in words is "eighty-five million, six hundred twenty-five thousand, eight hundred fifty-six".