111680 has 28 divisors (see below), whose sum is σ = 266700. Its totient is φ = 44544.

The previous prime is 111667. The next prime is 111697. The reversal of 111680 is 86111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 50176 = 248^2 + 224^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

111680 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, 146 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (9525).

2¹¹¹⁶⁸⁰ is an apocalyptic number.

111680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133350).

111680 is an abundant number, since it is smaller than the sum of its proper divisors (155020).

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

111680 is an equidigital number, since it uses as much as digits as its factorization.

111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 111680 is about 334.1855771873. The cubic root of 111680 is about 48.1568940209.

Adding to 111680 its reverse (86111), we get a palindrome (197791).

The spelling of 111680 in words is "one hundred eleven thousand, six hundred eighty".