112000896 has 384 divisors, whose sum is σ = 420076800. Its totient is φ = 27869184.

The previous prime is 112000891. The next prime is 112000921. The reversal of 112000896 is 698000211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000891) 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, 2604651 + ... + 2604693.

It is an arithmetic number, because the mean of its divisors is an integer number (1093950).

Almost surely, 2^112000896 is an apocalyptic number.

112000896 is a gapful number since it is divisible by the number (16) 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 112000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210038400).

112000896 is an abundant number, since it is smaller than the sum of its proper divisors (308075904).

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

112000896 is a wasteful number, since it uses less digits than its factorization.

112000896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 112000896 is about 10583.0475761947. The cubic root of 112000896 is about 482.0297382408.

It can be divided in two parts, 112000 and 896, that added together give a square (112896 = 336²).

The spelling of 112000896 in words is "one hundred twelve million, eight hundred ninety-six", and thus it is an aban number.