85009584 has 80 divisors (see below), whose sum is σ = 240948864. Its totient is φ = 25612800.

The previous prime is 85009577. The next prime is 85009597. The reversal of 85009584 is 48590058.

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, 122679 + ... + 123369.

Almost surely, 2^85009584 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 85009584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120474432).

85009584 is an abundant number, since it is smaller than the sum of its proper divisors (155939280).

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

85009584 is a wasteful number, since it uses less digits than its factorization.

85009584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 85009584 is about 9220.0642080194. The cubic root of 85009584 is about 439.6994917773.

The spelling of 85009584 in words is "eighty-five million, nine thousand, five hundred eighty-four".