112066560 has 216 divisors, whose sum is σ = 408943080. Its totient is φ = 28311552.

The previous prime is 112066553. The next prime is 112066561. The reversal of 112066560 is 65660211.

It is a happy number.

112066560 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 6 + 656 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112066561) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5898231 + ... + 5898249.

It is an arithmetic number, because the mean of its divisors is an integer number (1893255).

Almost surely, 2^112066560 is an apocalyptic number.

112066560 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 112066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204471540).

112066560 is an abundant number, since it is smaller than the sum of its proper divisors (296876520).

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

112066560 is an frugal number, since it uses more digits than its factorization.

112066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 112066560 is about 10586.1494416053. The cubic root of 112066560 is about 482.1239214668.

It can be divided in two parts, 11206 and 6560, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 112066560 in words is "one hundred twelve million, sixty-six thousand, five hundred sixty".