8609984100 has 135 divisors (see below), whose sum is σ = 27937264201. Its totient is φ = 2293768800.

The previous prime is 8609984093. The next prime is 8609984111. The reversal of 8609984100 is 14899068.

The square root of 8609984100 is 92790.

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

It can be written as a sum of positive squares in only one way, i.e., 3099594276 + 5510389824 = 55674^2 + 74232^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8350585 + ... + 8351615.

Almost surely, 2^8609984100 is an apocalyptic number.

8609984100 is the 92790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8609984100

8609984100 is an abundant number, since it is smaller than the sum of its proper divisors (19327280101).

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

8609984100 is a wasteful number, since it uses less digits than its factorization.

8609984100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The cubic root of 8609984100 is about 2049.5921536455.

The spelling of 8609984100 in words is "eight billion, six hundred nine million, nine hundred eighty-four thousand, one hundred".