112184064 has 216 divisors, whose sum is σ = 353939040. Its totient is φ = 34062336.

The previous prime is 112184057. The next prime is 112184069. The reversal of 112184064 is 460481211.

It is a happy number.

112184064 is nontrivially palindromic in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112184069) 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, 1536732 + ... + 1536804.

Almost surely, 2^112184064 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 112184064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176969520).

112184064 is an abundant number, since it is smaller than the sum of its proper divisors (241754976).

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

112184064 is a wasteful number, since it uses less digits than its factorization.

112184064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 112184064 is about 10591.6978808877. The cubic root of 112184064 is about 482.2923680897.

The spelling of 112184064 in words is "one hundred twelve million, one hundred eighty-four thousand, sixty-four".