85697584 has 40 divisors (see below), whose sum is σ = 191559168. Its totient is φ = 36379200.

The previous prime is 85697567. The next prime is 85697593. The reversal of 85697584 is 48579658.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8409 + ... + 15559.

Almost surely, 2^85697584 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 85697584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95779584).

85697584 is an abundant number, since it is smaller than the sum of its proper divisors (105861584).

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

85697584 is a wasteful number, since it uses less digits than its factorization.

85697584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7273 (or 7267 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 52.

The square root of 85697584 is about 9257.2989581195. The cubic root of 85697584 is about 440.8824987798.

The spelling of 85697584 in words is "eighty-five million, six hundred ninety-seven thousand, five hundred eighty-four".