809616384 has 220 divisors, whose sum is σ = 2484795984. Its totient is φ = 262434816.

The previous prime is 809616371. The next prime is 809616397. The reversal of 809616384 is 483616908.

809616384 is a `hidden beast` number, since 8 + 0 + 9 + 6 + 1 + 638 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (809616371) and next prime (809616397).

It is a super-3 number, since 3×809616384³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3566479 + ... + 3566705.

Almost surely, 2^809616384 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 809616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242397992).

809616384 is an abundant number, since it is smaller than the sum of its proper divisors (1675179600).

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

809616384 is a wasteful number, since it uses less digits than its factorization.

809616384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 809616384 is about 28453.7586972266. The cubic root of 809616384 is about 932.0225700171.

It can be divided in two parts, 809616 and 384, that added together give a 4-th power (810000 = 30⁴).

The spelling of 809616384 in words is "eight hundred nine million, six hundred sixteen thousand, three hundred eighty-four".