814804128 has 72 divisors (see below), whose sum is σ = 2337697908. Its totient is φ = 269187072.

The previous prime is 814804099. The next prime is 814804129. The reversal of 814804128 is 821408418.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 729648144 + 85155984 = 27012^2 + 9228^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 814804092 and 814804101.

It is not an unprimeable number, because it can be changed into a prime (814804129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20026 + ... + 45062.

Almost surely, 2^814804128 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 814804128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168848954).

814804128 is an abundant number, since it is smaller than the sum of its proper divisors (1522893780).

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

814804128 is a wasteful number, since it uses less digits than its factorization.

814804128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25166 (or 25155 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 814804128 is about 28544.7740926426. The cubic root of 814804128 is about 934.0090268085.

The spelling of 814804128 in words is "eight hundred fourteen million, eight hundred four thousand, one hundred twenty-eight".