112436064 has 144 divisors (see below), whose sum is σ = 350859600. Its totient is φ = 33942528.

The previous prime is 112436059. The next prime is 112436069. The reversal of 112436064 is 460634211.

112436064 is a `hidden beast` number, since 1 + 12 + 43 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (112436059) and next prime (112436069).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112436069) 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 23 ways as a sum of consecutive naturals, for example, 220642 + ... + 221150.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 2^112436064 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 112436064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175429800).

112436064 is an abundant number, since it is smaller than the sum of its proper divisors (238423536).

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

112436064 is a wasteful number, since it uses less digits than its factorization.

112436064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 112436064 is about 10603.5873175072. The cubic root of 112436064 is about 482.6532238183.

The spelling of 112436064 in words is "one hundred twelve million, four hundred thirty-six thousand, sixty-four".