8397889600 has 189 divisors, whose sum is σ = 21675511767. Its totient is φ = 3202268160.

The previous prime is 8397889583. The next prime is 8397889601. The reversal of 8397889600 is 69887938.

The square root of 8397889600 is 91640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 115433536 + 8282456064 = 10744^2 + 91008^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8397889601) 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 26 ways as a sum of consecutive naturals, for example, 106302361 + ... + 106302439.

Almost surely, 2^8397889600 is an apocalyptic number.

8397889600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8397889600 is the 91640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8397889600

8397889600 is an abundant number, since it is smaller than the sum of its proper divisors (13277622167).

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

8397889600 is an equidigital number, since it uses as much as digits as its factorization.

8397889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 58.

The cubic root of 8397889600 is about 2032.6224610478.

The spelling of 8397889600 in words is "eight billion, three hundred ninety-seven million, eight hundred eighty-nine thousand, six hundred".