112896240 has 80 divisors (see below), whose sum is σ = 353453568. Its totient is φ = 29806848.

The previous prime is 112896229. The next prime is 112896253. The reversal of 112896240 is 42698211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112896240² = 25491122012275200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22437 + ... + 27003.

Almost surely, 2^112896240 is an apocalyptic number.

112896240 is a gapful number since it is divisible by the number (10) 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 112896240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176726784).

112896240 is an abundant number, since it is smaller than the sum of its proper divisors (240557328).

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

112896240 is a wasteful number, since it uses less digits than its factorization.

112896240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 112896240 is about 10625.2642320085. The cubic root of 112896240 is about 483.3107919201.

The spelling of 112896240 in words is "one hundred twelve million, eight hundred ninety-six thousand, two hundred forty".