85568 has 28 divisors (see below), whose sum is σ = 195072. Its totient is φ = 36480.

The previous prime is 85549. The next prime is 85571. The reversal of 85568 is 86558.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

Its product of digits (9600) is a multiple of the sum of its prime divisors (200).

It is an unprimeable number.

85568 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, 353 + ... + 543.

2⁸⁵⁵⁶⁸ 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 85568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97536).

85568 is an abundant number, since it is smaller than the sum of its proper divisors (109504).

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

85568 is a wasteful number, since it uses less digits than its factorization.

85568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 85568 is about 292.5200847805. The cubic root of 85568 is about 44.0660166031.

Subtracting 85568 from its reverse (86558), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 8 and 5568, that multiplied together give a palindrome (44544).

The spelling of 85568 in words is "eighty-five thousand, five hundred sixty-eight".