85008600 has 144 divisors (see below), whose sum is σ = 289434600. Its totient is φ = 22356480.

The previous prime is 85008589. The next prime is 85008601. The reversal of 85008600 is 680058.

85008600 is a `hidden beast` number, since 8 + 50 + 0 + 8 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85008601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149116 + ... + 149684.

Almost surely, 2^85008600 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 85008600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144717300).

85008600 is an abundant number, since it is smaller than the sum of its proper divisors (204426000).

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

85008600 is a wasteful number, since it uses less digits than its factorization.

85008600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85008600 is about 9220.0108459806. The cubic root of 85008600 is about 439.6977952393.

Adding to 85008600 its reverse (680058), we get a palindrome (85688658).

The spelling of 85008600 in words is "eighty-five million, eight thousand, six hundred".