112662216 has 96 divisors (see below), whose sum is σ = 320112000. Its totient is φ = 35747712.

The previous prime is 112662203. The next prime is 112662223. The reversal of 112662216 is 612266211.

112662216 is a `hidden beast` number, since 1 + 1 + 26 + 622 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112662216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164611 + ... + 165293.

It is an arithmetic number, because the mean of its divisors is an integer number (3334500).

Almost surely, 2^112662216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112662216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160056000).

112662216 is an abundant number, since it is smaller than the sum of its proper divisors (207449784).

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

112662216 is a wasteful number, since it uses less digits than its factorization.

112662216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 796 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 112662216 is about 10614.2458987909. The cubic root of 112662216 is about 482.9766072798.

The spelling of 112662216 in words is "one hundred twelve million, six hundred sixty-two thousand, two hundred sixteen".