112586166 has 64 divisors (see below), whose sum is σ = 311938560. Its totient is φ = 29242080.

The previous prime is 112586161. The next prime is 112586171. The reversal of 112586166 is 661685211.

112586166 is a `hidden beast` number, since 1 + 12 + 586 + 1 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (112586161) and next prime (112586171).

It is a self number, because there is not a number n which added to its sum of digits gives 112586166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112586161) 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, 9381 + ... + 17696.

It is an arithmetic number, because the mean of its divisors is an integer number (4874040).

Almost surely, 2^112586166 is an apocalyptic number.

112586166 is an abundant number, since it is smaller than the sum of its proper divisors (199352394).

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

112586166 is a wasteful number, since it uses less digits than its factorization.

112586166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27106 (or 27100 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 112586166 is about 10610.6628445164. The cubic root of 112586166 is about 482.8679087884.

It can be divided in two parts, 11258 and 6166, that added together give a square (17424 = 132²).

The spelling of 112586166 in words is "one hundred twelve million, five hundred eighty-six thousand, one hundred sixty-six".