112397680 has 80 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 43494656.

The previous prime is 112397669. The next prime is 112397729. The reversal of 112397680 is 86793211.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 627831 + ... + 628009.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^112397680 is an apocalyptic number.

112397680 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 112397680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

112397680 is an abundant number, since it is smaller than the sum of its proper divisors (157585040).

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

112397680 is a wasteful number, since it uses less digits than its factorization.

112397680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 112397680 is about 10601.7772095060. Note that the first 3 decimals coincide. The cubic root of 112397680 is about 482.5982940231.

The spelling of 112397680 in words is "one hundred twelve million, three hundred ninety-seven thousand, six hundred eighty".