112559040 has 504 divisors, whose sum is σ = 474299280. Its totient is φ = 24330240.

The previous prime is 112559017. The next prime is 112559053. The reversal of 112559040 is 40955211.

112559040 is a `hidden beast` number, since 11 + 25 + 590 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112558995 and 112559013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5924151 + ... + 5924169.

It is an arithmetic number, because the mean of its divisors is an integer number (941070).

Almost surely, 2^112559040 is an apocalyptic number.

112559040 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 112559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237149640).

112559040 is an abundant number, since it is smaller than the sum of its proper divisors (361740240).

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

112559040 is a wasteful number, since it uses less digits than its factorization.

112559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 112559040 is about 10609.3845250325. The cubic root of 112559040 is about 482.8291256725.

The spelling of 112559040 in words is "one hundred twelve million, five hundred fifty-nine thousand, forty".