112634208 has 72 divisors (see below), whose sum is σ = 323498448. Its totient is φ = 37170432.

The previous prime is 112634201. The next prime is 112634209. The reversal of 112634208 is 802436211.

112634208 is a `hidden beast` number, since 1 + 1 + 2 + 634 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112634201) 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 11 ways as a sum of consecutive naturals, for example, 27766 + ... + 31562.

It is an arithmetic number, because the mean of its divisors is an integer number (4493034).

Almost surely, 2^112634208 is an apocalyptic number.

112634208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112634208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161749224).

112634208 is an abundant number, since it is smaller than the sum of its proper divisors (210864240).

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

112634208 is a wasteful number, since it uses less digits than its factorization.

112634208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 112634208 is about 10612.9264578626. The cubic root of 112634208 is about 482.9365810539.

The spelling of 112634208 in words is "one hundred twelve million, six hundred thirty-four thousand, two hundred eight".