8304181920 has 144 divisors (see below), whose sum is σ = 28421396640. Its totient is φ = 2207933952.

The previous prime is 8304181903. The next prime is 8304181927. The reversal of 8304181920 is 291814038.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (8304181927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491371 + ... + 507989.

It is an arithmetic number, because the mean of its divisors is an integer number (197370810).

Almost surely, 2^8304181920 is an apocalyptic number.

8304181920 is a gapful number since it is divisible by the number (80) 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 8304181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210698320).

8304181920 is an abundant number, since it is smaller than the sum of its proper divisors (20117214720).

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

8304181920 is a wasteful number, since it uses less digits than its factorization.

8304181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16987 (or 16976 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8304181920 is about 91127.2841689030. The cubic root of 8304181920 is about 2025.0338393979.

Adding to 8304181920 its reverse (291814038), we get a palindrome (8595995958).

The spelling of 8304181920 in words is "eight billion, three hundred four million, one hundred eighty-one thousand, nine hundred twenty".