111768 has 16 divisors (see below), whose sum is σ = 279480. Its totient is φ = 37248.

The previous prime is 111767. The next prime is 111773. The reversal of 111768 is 867111.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4657 = 111768 / (1 + 1 + 1 + 7 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2305 + ... + 2352.

2¹¹¹⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

111768 is an abundant number, since it is smaller than the sum of its proper divisors (167712).

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

111768 is a wasteful number, since it uses less digits than its factorization.

111768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4662 counting only the distinct ones).

The product of its digits is 336, while the sum is 24.

The square root of 111768 is about 334.3172146330. The cubic root of 111768 is about 48.1695393590.

Adding to 111768 its reverse (867111), we get a palindrome (978879).

The spelling of 111768 in words is "one hundred eleven thousand, seven hundred sixty-eight".