8541680200 has 96 divisors (see below), whose sum is σ = 20754921600. Its totient is φ = 3263068160.

The previous prime is 8541680197. The next prime is 8541680207. The reversal of 8541680200 is 20861458.

It is not an unprimeable number, because it can be changed into a prime (8541680207) 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, 4520856 + ... + 4522744.

It is an arithmetic number, because the mean of its divisors is an integer number (216197100).

Almost surely, 2^8541680200 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 8541680200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377460800).

8541680200 is an abundant number, since it is smaller than the sum of its proper divisors (12213241400).

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

8541680200 is a wasteful number, since it uses less digits than its factorization.

8541680200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 8541680200 is about 92421.2107689571. The cubic root of 8541680200 is about 2044.1578820376.

The spelling of 8541680200 in words is "eight billion, five hundred forty-one million, six hundred eighty thousand, two hundred".