111618 has 40 divisors (see below), whose sum is σ = 274428. Its totient is φ = 33696.

The previous prime is 111611. The next prime is 111623. The reversal of 111618 is 816111.

It can be written as a sum of positive squares in 2 ways, for example, as 110889 + 729 = 333^2 + 27^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 111618.

It is not an unprimeable number, because it can be changed into a prime (111611) by changing a digit.

111618 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 19 ways as a sum of consecutive naturals, for example, 2080 + ... + 2132.

2¹¹¹⁶¹⁸ is an apocalyptic number.

111618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137214).

111618 is an abundant number, since it is smaller than the sum of its proper divisors (162810).

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

111618 is a wasteful number, since it uses less digits than its factorization.

111618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 71 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

The square root of 111618 is about 334.0928014789. The cubic root of 111618 is about 48.1479808161.

Adding to 111618 its reverse (816111), we get a palindrome (927729).

It can be divided in two parts, 111 and 618, that added together give a 6-th power (729 = 3⁶).

The spelling of 111618 in words is "one hundred eleven thousand, six hundred eighteen".