85668 has 36 divisors (see below), whose sum is σ = 223440. Its totient is φ = 25520.

The previous prime is 85667. The next prime is 85669. The reversal of 85668 is 86658.

It is an interprime number because it is at equal distance from previous prime (85667) and next prime (85669).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (85661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1423 + ... + 1481.

2⁸⁵⁶⁶⁸ 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 85668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111720).

85668 is an abundant number, since it is smaller than the sum of its proper divisors (137772).

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

85668 is a wasteful number, since it uses less digits than its factorization.

85668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 85668 is about 292.6909633043. The cubic root of 85668 is about 44.0831760014.

Subtracting 85668 from its reverse (86658), we obtain a triangular number (990 = T₄₄).

The spelling of 85668 in words is "eighty-five thousand, six hundred sixty-eight".