85171668 has 48 divisors (see below), whose sum is σ = 208150656. Its totient is φ = 27054720.

The previous prime is 85171657. The next prime is 85171687. The reversal of 85171668 is 86617158.

85171668 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

85171668 is strictly pandigital in base 9.

It is a congruent number.

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, 115830 + ... + 116562.

It is an arithmetic number, because the mean of its divisors is an integer number (4336472).

Almost surely, 2^85171668 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 85171668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104075328).

85171668 is an abundant number, since it is smaller than the sum of its proper divisors (122978988).

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

85171668 is a wasteful number, since it uses less digits than its factorization.

85171668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1182 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 85171668 is about 9228.8497658159. The cubic root of 85171668 is about 439.9787661929.

The spelling of 85171668 in words is "eighty-five million, one hundred seventy-one thousand, six hundred sixty-eight".