8968984200 has 576 divisors, whose sum is σ = 35910201600. Its totient is φ = 2057529600.

The previous prime is 8968984187. The next prime is 8968984207. The reversal of 8968984200 is 24898698.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8968984207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10156959 + ... + 10157841.

It is an arithmetic number, because the mean of its divisors is an integer number (62344100).

Almost surely, 2^8968984200 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 8968984200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17955100800).

8968984200 is an abundant number, since it is smaller than the sum of its proper divisors (26941217400).

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

8968984200 is a wasteful number, since it uses less digits than its factorization.

8968984200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8968984200 is about 94704.7211072394. The cubic root of 8968984200 is about 2077.6916113067.

It can be divided in two parts, 89689 and 84200, that added together give a square (173889 = 417²).

The spelling of 8968984200 in words is "eight billion, nine hundred sixty-eight million, nine hundred eighty-four thousand, two hundred".