112824320 has 104 divisors (see below), whose sum is σ = 309816384. Its totient is φ = 38633472.

The previous prime is 112824311. The next prime is 112824323. The reversal of 112824320 is 23428211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112824323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142967 + ... + 143753.

Almost surely, 2^112824320 is an apocalyptic number.

112824320 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 112824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154908192).

112824320 is an abundant number, since it is smaller than the sum of its proper divisors (196992064).

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

112824320 is an frugal number, since it uses more digits than its factorization.

112824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 112824320 is about 10621.8793064128. The cubic root of 112824320 is about 483.2081398567.

The spelling of 112824320 in words is "one hundred twelve million, eight hundred twenty-four thousand, three hundred twenty".