8541880320 has 120 divisors (see below), whose sum is σ = 27333969264. Its totient is φ = 2277769216.

The previous prime is 8541880289. The next prime is 8541880349. The reversal of 8541880320 is 230881458.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228382 + ... + 263138.

Almost surely, 2^8541880320 is an apocalyptic number.

8541880320 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 8541880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13666984632).

8541880320 is an abundant number, since it is smaller than the sum of its proper divisors (18792088944).

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

8541880320 is an equidigital number, since it uses as much as digits as its factorization.

8541880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34793 (or 34767 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 8541880320 is about 92422.2934145220. The cubic root of 8541880320 is about 2044.1738458632.

The spelling of 8541880320 in words is "eight billion, five hundred forty-one million, eight hundred eighty thousand, three hundred twenty".