112284640 has 96 divisors (see below), whose sum is σ = 293600160. Its totient is φ = 40310784.

The previous prime is 112284589. The next prime is 112284647. The reversal of 112284640 is 46482211.

It is a junction number, because it is equal to n+sod(n) for n = 112284599 and 112284608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112284647) 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 15 ways as a sum of consecutive naturals, for example, 76231 + ... + 77689.

It is an arithmetic number, because the mean of its divisors is an integer number (3058335).

Almost surely, 2^112284640 is an apocalyptic number.

112284640 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 112284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146800080).

112284640 is an abundant number, since it is smaller than the sum of its proper divisors (181315520).

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

112284640 is a wasteful number, since it uses less digits than its factorization.

112284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 112284640 is about 10596.4446867806. Note that the first 3 decimals coincide. The cubic root of 112284640 is about 482.4364543552.

The spelling of 112284640 in words is "one hundred twelve million, two hundred eighty-four thousand, six hundred forty".