111568 has 20 divisors (see below), whose sum is σ = 228160. Its totient is φ = 52704.

The previous prime is 111539. The next prime is 111577. The reversal of 111568 is 865111.

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

111568 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, 121 + ... + 487.

It is an arithmetic number, because the mean of its divisors is an integer number (11408).

2¹¹¹⁵⁶⁸ 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 111568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114080).

111568 is an abundant number, since it is smaller than the sum of its proper divisors (116592).

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

111568 is a wasteful number, since it uses less digits than its factorization.

111568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its digits is 240, while the sum is 22.

The square root of 111568 is about 334.0179635888. The cubic root of 111568 is about 48.1407903433.

Adding to 111568 its reverse (865111), we get a palindrome (976679).

The spelling of 111568 in words is "one hundred eleven thousand, five hundred sixty-eight".