112535808 has 216 divisors, whose sum is σ = 378417984. Its totient is φ = 29061120.

The previous prime is 112535807. The next prime is 112535809. The reversal of 112535808 is 808535211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112535807) and next prime (112535809).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (112535807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650410 + ... + 650582.

Almost surely, 2^112535808 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 112535808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189208992).

112535808 is an abundant number, since it is smaller than the sum of its proper divisors (265882176).

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

112535808 is a wasteful number, since it uses less digits than its factorization.

112535808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 112535808 is about 10608.2895888074. The cubic root of 112535808 is about 482.7959050087.

The spelling of 112535808 in words is "one hundred twelve million, five hundred thirty-five thousand, eight hundred eight".