112607424 has 84 divisors (see below), whose sum is σ = 325352664. Its totient is φ = 37235712.

The previous prime is 112607423. The next prime is 112607431. The reversal of 112607424 is 424706211.

112607424 is a `hidden beast` number, since 1 + 12 + 607 + 42 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (112607423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78199 + ... + 79625.

It is an arithmetic number, because the mean of its divisors is an integer number (3873246).

Almost surely, 2^112607424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112607424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162676332).

112607424 is an abundant number, since it is smaller than the sum of its proper divisors (212745240).

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

112607424 is a wasteful number, since it uses less digits than its factorization.

112607424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 112607424 is about 10611.6645254173. The cubic root of 112607424 is about 482.8982978388.

The spelling of 112607424 in words is "one hundred twelve million, six hundred seven thousand, four hundred twenty-four".