112506640 has 80 divisors (see below), whose sum is σ = 271411200. Its totient is φ = 43338240.

The previous prime is 112506623. The next prime is 112506643. The reversal of 112506640 is 46605211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112506643) 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, 565261 + ... + 565459.

It is an arithmetic number, because the mean of its divisors is an integer number (3392640).

Almost surely, 2^112506640 is an apocalyptic number.

112506640 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 112506640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135705600).

112506640 is an abundant number, since it is smaller than the sum of its proper divisors (158904560).

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

112506640 is a wasteful number, since it uses less digits than its factorization.

112506640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 112506640 is about 10606.9147257815. The cubic root of 112506640 is about 482.7541896708.

The spelling of 112506640 in words is "one hundred twelve million, five hundred six thousand, six hundred forty".