85068 has 36 divisors (see below), whose sum is σ = 229320. Its totient is φ = 26496.

The previous prime is 85061. The next prime is 85081. The reversal of 85068 is 86058.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (85061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (6370).

2⁸⁵⁰⁶⁸ 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 85068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114660).

85068 is an abundant number, since it is smaller than the sum of its proper divisors (144252).

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

85068 is a wasteful number, since it uses less digits than its factorization.

85068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85068 is about 291.6641904657. The cubic root of 85068 is about 43.9800184755.

Subtracting 85068 from its reverse (86058), we obtain a triangular number (990 = T₄₄).

The spelling of 85068 in words is "eighty-five thousand, sixty-eight".