8886832900 has 81 divisors (see below), whose sum is σ = 21221695327. Its totient is φ = 3227804800.

The previous prime is 8886832879. The next prime is 8886832921. The reversal of 8886832900 is 92386888.

It is a happy number.

The square root of 8886832900 is 94270.

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

It is an interprime number because it is at equal distance from previous prime (8886832879) and next prime (8886832921).

It can be written as a sum of positive squares in 4 ways, for example, as 1158313156 + 7728519744 = 34034^2 + 87912^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 10369272 + ... + 10370128.

Almost surely, 2^8886832900 is an apocalyptic number.

8886832900 is the 94270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8886832900

8886832900 is an abundant number, since it is smaller than the sum of its proper divisors (12334862427).

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

8886832900 is a wasteful number, since it uses less digits than its factorization.

8886832900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The cubic root of 8886832900 is about 2071.3286140997.

The spelling of 8886832900 in words is "eight billion, eight hundred eighty-six million, eight hundred thirty-two thousand, nine hundred".