85368 has 16 divisors (see below), whose sum is σ = 213480. Its totient is φ = 28448.

The previous prime is 85363. The next prime is 85369. The reversal of 85368 is 86358.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85361) by changing a digit.

85368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1755 + ... + 1802.

2⁸⁵³⁶⁸ is an apocalyptic number.

It is an amenable number.

85368 is an abundant number, since it is smaller than the sum of its proper divisors (128112).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106740).

85368 is a wasteful number, since it uses less digits than its factorization.

85368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3562 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 85368 is about 292.1780279213. The cubic root of 85368 is about 44.0316576579.

Subtracting 85368 from its reverse (86358), we obtain a triangular number (990 = T₄₄).

The spelling of 85368 in words is "eighty-five thousand, three hundred sixty-eight".