8541692160 has 288 divisors, whose sum is σ = 30145893120. Its totient is φ = 2050228224.

The previous prime is 8541692149. The next prime is 8541692189. The reversal of 8541692160 is 612961458.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1498596 + ... + 1504284.

It is an arithmetic number, because the mean of its divisors is an integer number (104673240).

Almost surely, 2^8541692160 is an apocalyptic number.

8541692160 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 8541692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15072946560).

8541692160 is an abundant number, since it is smaller than the sum of its proper divisors (21604200960).

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

8541692160 is a wasteful number, since it uses less digits than its factorization.

8541692160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 8541692160 is about 92421.2754726962. The cubic root of 8541692160 is about 2044.1588361089.

The spelling of 8541692160 in words is "eight billion, five hundred forty-one million, six hundred ninety-two thousand, one hundred sixty".