85717660 has 72 divisors (see below), whose sum is σ = 213966144. Its totient is φ = 28748160.

The previous prime is 85717651. The next prime is 85717693. The reversal of 85717660 is 6671758.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45130 + ... + 46990.

It is an arithmetic number, because the mean of its divisors is an integer number (2971752).

Almost surely, 2^85717660 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 85717660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106983072).

85717660 is an abundant number, since it is smaller than the sum of its proper divisors (128248484).

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

85717660 is a wasteful number, since it uses less digits than its factorization.

85717660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 85717660 is about 9258.3832281884. The cubic root of 85717660 is about 440.9169239664.

The spelling of 85717660 in words is "eighty-five million, seven hundred seventeen thousand, six hundred sixty".