111163680 has 288 divisors, whose sum is σ = 424569600. Its totient is φ = 26320896.

The previous prime is 111163673. The next prime is 111163681. The reversal of 111163680 is 86361111.

111163680 is a `hidden beast` number, since 11 + 11 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×111163680² = 24714727502284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111163681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465001 + ... + 465239.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^111163680 is an apocalyptic number.

111163680 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 111163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

111163680 is an abundant number, since it is smaller than the sum of its proper divisors (313405920).

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

111163680 is a wasteful number, since it uses less digits than its factorization.

111163680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 111163680 is about 10543.4188003702. The cubic root of 111163680 is about 480.8256622728.

The spelling of 111163680 in words is "one hundred eleven million, one hundred sixty-three thousand, six hundred eighty".