814608168 has 128 divisors (see below), whose sum is σ = 2306810880. Its totient is φ = 237565440.

The previous prime is 814608167. The next prime is 814608191. The reversal of 814608168 is 861806418.

814608168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (814608161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828205 + ... + 829187.

It is an arithmetic number, because the mean of its divisors is an integer number (18021960).

Almost surely, 2^814608168 is an apocalyptic number.

814608168 is a gapful number since it is divisible by the number (88) 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 814608168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153405440).

814608168 is an abundant number, since it is smaller than the sum of its proper divisors (1492202712).

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

814608168 is a wasteful number, since it uses less digits than its factorization.

814608168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 814608168 is about 28541.3413840345. The cubic root of 814608168 is about 933.9341445649.

The spelling of 814608168 in words is "eight hundred fourteen million, six hundred eight thousand, one hundred sixty-eight".