8969984100 has 729 divisors, whose sum is σ = 36848079723. Its totient is φ = 1818432000.

The previous prime is 8969984081. The next prime is 8969984143. The reversal of 8969984100 is 14899698.

The square root of 8969984100 is 94710.

It is a perfect power (a square), and thus also a powerful number.

8969984100 is a `hidden beast` number, since 89 + 69 + 98 + 410 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3775610916 + 5194373184 = 61446^2 + 72072^2 .

It is a super-2 number, since 2×8969984100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 218780080 + ... + 218780120.

Almost surely, 2^8969984100 is an apocalyptic number.

8969984100 is the 94710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8969984100

8969984100 is an abundant number, since it is smaller than the sum of its proper divisors (27878095623).

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

8969984100 is a wasteful number, since it uses less digits than its factorization.

8969984100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The cubic root of 8969984100 is about 2077.7688183645.

The spelling of 8969984100 in words is "eight billion, nine hundred sixty-nine million, nine hundred eighty-four thousand, one hundred".