814112208 has 420 divisors, whose sum is σ = 2976282720. Its totient is φ = 211071744.

The previous prime is 814112203. The next prime is 814112231. The reversal of 814112208 is 802211418.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814112203) 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 83 ways as a sum of consecutive naturals, for example, 13798483 + ... + 13798541.

Almost surely, 2^814112208 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 814112208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488141360).

814112208 is an abundant number, since it is smaller than the sum of its proper divisors (2162170512).

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

814112208 is a wasteful number, since it uses less digits than its factorization.

814112208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 814112208 is about 28532.6516117938. The cubic root of 814112208 is about 933.7445695721.

The spelling of 814112208 in words is "eight hundred fourteen million, one hundred twelve thousand, two hundred eight".