112329760 has 96 divisors (see below), whose sum is σ = 281413440. Its totient is φ = 42298368.

The previous prime is 112329751. The next prime is 112329781. The reversal of 112329760 is 67923211.

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, 199239 + ... + 199801.

It is an arithmetic number, because the mean of its divisors is an integer number (2931390).

Almost surely, 2^112329760 is an apocalyptic number.

112329760 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 112329760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140706720).

112329760 is an abundant number, since it is smaller than the sum of its proper divisors (169083680).

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

112329760 is a wasteful number, since it uses less digits than its factorization.

112329760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 112329760 is about 10598.5734889182. The cubic root of 112329760 is about 482.5010657981.

The spelling of 112329760 in words is "one hundred twelve million, three hundred twenty-nine thousand, seven hundred sixty".