112435008 has 336 divisors, whose sum is σ = 396118080. Its totient is φ = 27869184.

The previous prime is 112434977. The next prime is 112435009. The reversal of 112435008 is 800534211.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112435009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3038766 + ... + 3038802.

Almost surely, 2^112435008 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 112435008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198059040).

112435008 is an abundant number, since it is smaller than the sum of its proper divisors (283683072).

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

112435008 is a wasteful number, since it uses less digits than its factorization.

112435008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 112435008 is about 10603.5375229213. The cubic root of 112435008 is about 482.6517127865.

Adding to 112435008 its reverse (800534211), we get a palindrome (912969219).

The spelling of 112435008 in words is "one hundred twelve million, four hundred thirty-five thousand, eight".