111688 has 16 divisors (see below), whose sum is σ = 218880. Its totient is φ = 53328.

The previous prime is 111667. The next prime is 111697. The reversal of 111688 is 886111.

It is a happy number.

It is a plaindrome in base 10.

It is a nialpdrome in base 8.

It is an unprimeable number.

111688 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, 120 + ... + 487.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2¹¹¹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

111688 is a deficient number, since it is larger than the sum of its proper divisors (107192).

111688 is a wasteful number, since it uses less digits than its factorization.

111688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 632 counting only the distinct ones).

The product of its digits is 384, while the sum is 25.

The square root of 111688 is about 334.1975463704. The cubic root of 111688 is about 48.1580438715.

Adding to 111688 its reverse (886111), we get a palindrome (997799).

The spelling of 111688 in words is "one hundred eleven thousand, six hundred eighty-eight".