85045688 has 64 divisors (see below), whose sum is σ = 197588160. Its totient is φ = 33417216.

The previous prime is 85045673. The next prime is 85045693. The reversal of 85045688 is 88654058.

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, 143120 + ... + 143712.

It is an arithmetic number, because the mean of its divisors is an integer number (3087315).

Almost surely, 2^85045688 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 85045688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

85045688 is an abundant number, since it is smaller than the sum of its proper divisors (112542472).

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

85045688 is a wasteful number, since it uses less digits than its factorization.

85045688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 44.

The square root of 85045688 is about 9222.0219041163. The cubic root of 85045688 is about 439.7617304993.

The spelling of 85045688 in words is "eighty-five million, forty-five thousand, six hundred eighty-eight".