85685516 has 72 divisors (see below), whose sum is σ = 185623200. Its totient is φ = 34588512.

The previous prime is 85685513. The next prime is 85685521. The reversal of 85685516 is 61558658.

It is not an unprimeable number, because it can be changed into a prime (85685513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495206 + ... + 495378.

It is an arithmetic number, because the mean of its divisors is an integer number (2578100).

Almost surely, 2^85685516 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 85685516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92811600).

85685516 is an abundant number, since it is smaller than the sum of its proper divisors (99937684).

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

85685516 is a wasteful number, since it uses less digits than its factorization.

85685516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 201 counting only the distinct ones).

The product of its digits is 288000, while the sum is 44.

The square root of 85685516 is about 9256.6471251744. The cubic root of 85685516 is about 440.8618026702.

The spelling of 85685516 in words is "eighty-five million, six hundred eighty-five thousand, five hundred sixteen".