112261896 has 128 divisors (see below), whose sum is σ = 331776000. Its totient is φ = 35095104.

The previous prime is 112261889. The next prime is 112261907. The reversal of 112261896 is 698162211.

112261896 is a `hidden beast` number, since 11 + 22 + 618 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 112261896.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 292921 + ... + 293303.

It is an arithmetic number, because the mean of its divisors is an integer number (2592000).

Almost surely, 2^112261896 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 112261896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888000).

112261896 is an abundant number, since it is smaller than the sum of its proper divisors (219514104).

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

112261896 is a wasteful number, since it uses less digits than its factorization.

112261896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 112261896 is about 10595.3714422855. The cubic root of 112261896 is about 482.4038785857.

The spelling of 112261896 in words is "one hundred twelve million, two hundred sixty-one thousand, eight hundred ninety-six".