85110688 has 48 divisors (see below), whose sum is σ = 182203560. Its totient is φ = 38900736.

The previous prime is 85110659. The next prime is 85110713. The reversal of 85110688 is 88601158.

It can be written as a sum of positive squares in 4 ways, for example, as 70761744 + 14348944 = 8412^2 + 3788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44406 + ... + 46282.

Almost surely, 2^85110688 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 85110688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91101780).

85110688 is an abundant number, since it is smaller than the sum of its proper divisors (97092872).

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

85110688 is a wasteful number, since it uses less digits than its factorization.

85110688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 37.

The square root of 85110688 is about 9225.5454039314. The cubic root of 85110688 is about 439.8737378760.

The spelling of 85110688 in words is "eighty-five million, one hundred ten thousand, six hundred eighty-eight".