112434624 has 168 divisors, whose sum is σ = 342351360. Its totient is φ = 35223552.

The previous prime is 112434611. The next prime is 112434631. The reversal of 112434624 is 426434211.

It is a happy number.

112434624 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 34 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 885249 + ... + 885375.

Almost surely, 2^112434624 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 112434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171175680).

112434624 is an abundant number, since it is smaller than the sum of its proper divisors (229916736).

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

112434624 is a wasteful number, since it uses less digits than its factorization.

112434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 112434624 is about 10603.5194157412. The cubic root of 112434624 is about 482.6511633181.

Adding to 112434624 its reverse (426434211), we get a palindrome (538868835).

The spelling of 112434624 in words is "one hundred twelve million, four hundred thirty-four thousand, six hundred twenty-four".