112354560 has 144 divisors (see below), whose sum is σ = 398825280. Its totient is φ = 29952000.

The previous prime is 112354559. The next prime is 112354597. The reversal of 112354560 is 65453211.

112354560 is a `hidden beast` number, since 112 + 3 + 545 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 32935 + ... + 36185.

It is an arithmetic number, because the mean of its divisors is an integer number (2769620).

Almost surely, 2^112354560 is an apocalyptic number.

112354560 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 112354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199412640).

112354560 is an abundant number, since it is smaller than the sum of its proper divisors (286470720).

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

112354560 is an equidigital number, since it uses as much as digits as its factorization.

112354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 112354560 is about 10599.7433931204. The cubic root of 112354560 is about 482.5365718116.

The spelling of 112354560 in words is "one hundred twelve million, three hundred fifty-four thousand, five hundred sixty".