112963266 has 96 divisors (see below), whose sum is σ = 283636080. Its totient is φ = 32182272.

The previous prime is 112963261. The next prime is 112963289. The reversal of 112963266 is 662369211.

It is a happy number.

112963266 is a `hidden beast` number, since 1 + 12 + 9 + 632 + 6 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39501225 + 73462041 = 6285^2 + 8571^2 .

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 112963266.

It is not an unprimeable number, because it can be changed into a prime (112963261) 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, 290200 + ... + 290588.

Almost surely, 2^112963266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112963266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141818040).

112963266 is an abundant number, since it is smaller than the sum of its proper divisors (170672814).

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

112963266 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (112963265) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (497).

112963266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 112963266 is about 10628.4178502729. The cubic root of 112963266 is about 483.4064194935.

The spelling of 112963266 in words is "one hundred twelve million, nine hundred sixty-three thousand, two hundred sixty-six".