838106112 has 176 divisors, whose sum is σ = 2393516160. Its totient is φ = 259964928.

The previous prime is 838106099. The next prime is 838106141. The reversal of 838106112 is 211601838.

It is a self number, because there is not a number n which added to its sum of digits gives 838106112.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4844458 + ... + 4844630.

Almost surely, 2^838106112 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 838106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196758080).

838106112 is an abundant number, since it is smaller than the sum of its proper divisors (1555410048).

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

838106112 is a wasteful number, since it uses less digits than its factorization.

838106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 838106112 is about 28950.0623833525. The cubic root of 838106112 is about 942.8291526257.

The spelling of 838106112 in words is "eight hundred thirty-eight million, one hundred six thousand, one hundred twelve".