814364064 has 96 divisors (see below), whose sum is σ = 2385694080. Its totient is φ = 270259200.

The previous prime is 814364021. The next prime is 814364077. The reversal of 814364064 is 460463418.

814364064 is a `hidden beast` number, since 8 + 1 + 4 + 3 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 206269 + ... + 210179.

It is an arithmetic number, because the mean of its divisors is an integer number (24850980).

Almost surely, 2^814364064 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 814364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192847040).

814364064 is an abundant number, since it is smaller than the sum of its proper divisors (1571330016).

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

814364064 is a wasteful number, since it uses less digits than its factorization.

814364064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 814364064 is about 28537.0647404389. The cubic root of 814364064 is about 933.8408482437.

The spelling of 814364064 in words is "eight hundred fourteen million, three hundred sixty-four thousand, sixty-four".