8916247200 has 288 divisors, whose sum is σ = 34314053760. Its totient is φ = 1967616000.

The previous prime is 8916247181. The next prime is 8916247201. The reversal of 8916247200 is 27426198.

It is not an unprimeable number, because it can be changed into a prime (8916247201) 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 47 ways as a sum of consecutive naturals, for example, 478050 + ... + 496350.

It is an arithmetic number, because the mean of its divisors is an integer number (119146020).

Almost surely, 2^8916247200 is an apocalyptic number.

8916247200 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 8916247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17157026880).

8916247200 is an abundant number, since it is smaller than the sum of its proper divisors (25397806560).

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

8916247200 is a wasteful number, since it uses less digits than its factorization.

8916247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18360 (or 18347 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 8916247200 is about 94425.8820451257. The cubic root of 8916247200 is about 2073.6113765260.

The spelling of 8916247200 in words is "eight billion, nine hundred sixteen million, two hundred forty-seven thousand, two hundred".