818385984 has 224 divisors, whose sum is σ = 2744663040. Its totient is φ = 236888064.

The previous prime is 818385983. The next prime is 818386007. The reversal of 818385984 is 489583818.

818385984 is a `hidden beast` number, since 8 + 18 + 38 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 818385984.

It is not an unprimeable number, because it can be changed into a prime (818385983) 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 31 ways as a sum of consecutive naturals, for example, 380817 + ... + 382959.

It is an arithmetic number, because the mean of its divisors is an integer number (12252960).

Almost surely, 2^818385984 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 818385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372331520).

818385984 is an abundant number, since it is smaller than the sum of its proper divisors (1926277056).

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

818385984 is a wasteful number, since it uses less digits than its factorization.

818385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2178 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 818385984 is about 28607.4463033665. The cubic root of 818385984 is about 935.3756520045.

The spelling of 818385984 in words is "eight hundred eighteen million, three hundred eighty-five thousand, nine hundred eighty-four".