111760 has 40 divisors (see below), whose sum is σ = 285696. Its totient is φ = 40320.

The previous prime is 111751. The next prime is 111767. The reversal of 111760 is 67111.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 8.

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

111760 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 7 ways as a sum of consecutive naturals, for example, 817 + ... + 943.

2¹¹¹⁷⁶⁰ is an apocalyptic number.

111760 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 111760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848).

111760 is an abundant number, since it is smaller than the sum of its proper divisors (173936).

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

111760 is a wasteful number, since it uses less digits than its factorization.

111760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 111760 is about 334.3052497344. The cubic root of 111760 is about 48.1683900571.

Adding to 111760 its reverse (67111), we get a palindrome (178871).

It can be divided in two parts, 11 and 1760, that added together give a palindrome (1771).

The spelling of 111760 in words is "one hundred eleven thousand, seven hundred sixty".