83568 has 20 divisors (see below), whose sum is σ = 216008. Its totient is φ = 27840.

The previous prime is 83563. The next prime is 83579. The reversal of 83568 is 86538.

It is a super-2 number, since 2×83568² = 13967221248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83561) by changing a digit.

83568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 823 + ... + 918.

2⁸³⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

83568 is an abundant number, since it is smaller than the sum of its proper divisors (132440).

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 (108004).

83568 is a wasteful number, since it uses less digits than its factorization.

83568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1746 counting only the distinct ones).

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

The square root of 83568 is about 289.0813034425. The cubic root of 83568 is about 43.7199848547.

Subtracting from 83568 its sum of digits (30), we obtain a palindrome (83538).

It can be divided in two parts, 835 and 68, that added together give a triangular number (903 = T₄₂).

The spelling of 83568 in words is "eighty-three thousand, five hundred sixty-eight".