112486968 has 160 divisors (see below), whose sum is σ = 352661760. Its totient is φ = 33203520.

The previous prime is 112486963. The next prime is 112486999. The reversal of 112486968 is 869684211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112486963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 306321 + ... + 306687.

It is an arithmetic number, because the mean of its divisors is an integer number (2204136).

Almost surely, 2^112486968 is an apocalyptic number.

112486968 is a gapful number since it is divisible by the number (18) 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 112486968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176330880).

112486968 is an abundant number, since it is smaller than the sum of its proper divisors (240174792).

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

112486968 is a wasteful number, since it uses less digits than its factorization.

112486968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 426 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 112486968 is about 10605.9873656346. The cubic root of 112486968 is about 482.7260512013.

The spelling of 112486968 in words is "one hundred twelve million, four hundred eighty-six thousand, nine hundred sixty-eight".