814065336 has 256 divisors, whose sum is σ = 2787840000. Its totient is φ = 214897536.

The previous prime is 814065331. The next prime is 814065361. The reversal of 814065336 is 633560418.

814065336 is a `hidden beast` number, since 81 + 40 + 6 + 533 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 814065336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814065331) 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 63 ways as a sum of consecutive naturals, for example, 1234975 + ... + 1235633.

It is an arithmetic number, because the mean of its divisors is an integer number (10890000).

Almost surely, 2^814065336 is an apocalyptic number.

814065336 is a gapful number since it is divisible by the number (86) 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 814065336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393920000).

814065336 is an abundant number, since it is smaller than the sum of its proper divisors (1973774664).

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

814065336 is a wasteful number, since it uses less digits than its factorization.

814065336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 814065336 is about 28531.8302252064. The cubic root of 814065336 is about 933.7266493088.

The spelling of 814065336 in words is "eight hundred fourteen million, sixty-five thousand, three hundred thirty-six".