8820900 has 189 divisors, whose sum is σ = 31545073. Its totient is φ = 2138400.

The previous prime is 8820887. The next prime is 8820907. The reversal of 8820900 is 90288.

The square root of 8820900 is 2970.

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., 3175524 + 5645376 = 1782^2 + 2376^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8820907) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 801895 + ... + 801905.

Almost surely, 2^8820900 is an apocalyptic number.

8820900 is the 2970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8820900

8820900 is an abundant number, since it is smaller than the sum of its proper divisors (22724173).

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

8820900 is a wasteful number, since it uses less digits than its factorization.

8820900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 8820900 is about 206.6193382199.

The spelling of 8820900 in words is "eight million, eight hundred twenty thousand, nine hundred".