111829680 has 160 divisors (see below), whose sum is σ = 402117120. Its totient is φ = 28512000.

The previous prime is 111829661. The next prime is 111829681. The reversal of 111829680 is 86928111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (111829681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48555 + ... + 50805.

It is an arithmetic number, because the mean of its divisors is an integer number (2513232).

Almost surely, 2^111829680 is an apocalyptic number.

111829680 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 111829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201058560).

111829680 is an abundant number, since it is smaller than the sum of its proper divisors (290287440).

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

111829680 is a wasteful number, since it uses less digits than its factorization.

111829680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 111829680 is about 10574.9553190545. The cubic root of 111829680 is about 481.7839863538.

The spelling of 111829680 in words is "one hundred eleven million, eight hundred twenty-nine thousand, six hundred eighty".