112336560 has 240 divisors, whose sum is σ = 445685760. Its totient is φ = 24814080.

The previous prime is 112336547. The next prime is 112336571. The reversal of 112336560 is 65633211.

112336560 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 3 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 155881 + ... + 156599.

It is an arithmetic number, because the mean of its divisors is an integer number (1857024).

Almost surely, 2^112336560 is an apocalyptic number.

112336560 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 112336560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222842880).

112336560 is an abundant number, since it is smaller than the sum of its proper divisors (333349200).

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

112336560 is a wasteful number, since it uses less digits than its factorization.

112336560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 112336560 is about 10598.8942819522. The cubic root of 112336560 is about 482.5108018379.

Adding to 112336560 its reverse (65633211), we get a palindrome (177969771).

It can be divided in two parts, 112336 and 560, that added together give a square (112896 = 336²).

The spelling of 112336560 in words is "one hundred twelve million, three hundred thirty-six thousand, five hundred sixty".