85660064 has 48 divisors (see below), whose sum is σ = 193435200. Its totient is φ = 36578304.

The previous prime is 85660063. The next prime is 85660109. The reversal of 85660064 is 46006658.

It is not an unprimeable number, because it can be changed into a prime (85660063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84392 + ... + 85400.

It is an arithmetic number, because the mean of its divisors is an integer number (4029900).

Almost surely, 2^85660064 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 85660064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96717600).

85660064 is an abundant number, since it is smaller than the sum of its proper divisors (107775136).

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

85660064 is a wasteful number, since it uses less digits than its factorization.

85660064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 85660064 is about 9255.2722272227. The cubic root of 85660064 is about 440.8181471949.

The spelling of 85660064 in words is "eighty-five million, six hundred sixty thousand, sixty-four".