8900820 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 2321280.

The previous prime is 8900807. The next prime is 8900821. The reversal of 8900820 is 280098.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8900821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28465 + ... + 28775.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^8900820 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 8900820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

8900820 is an abundant number, since it is smaller than the sum of its proper divisors (19403820).

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

8900820 is a wasteful number, since it uses less digits than its factorization.

8900820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

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

The square root of 8900820 is about 2983.4242071821. The cubic root of 8900820 is about 207.2414741344.

The spelling of 8900820 in words is "eight million, nine hundred thousand, eight hundred twenty".