8830820 has 48 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 3147264.

The previous prime is 8830813. The next prime is 8830823. The reversal of 8830820 is 280388.

It is not an unprimeable number, because it can be changed into a prime (8830823) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5777 + ... + 7143.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 2^8830820 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 8830820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

8830820 is an abundant number, since it is smaller than the sum of its proper divisors (11853340).

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

8830820 is a wasteful number, since it uses less digits than its factorization.

8830820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 8830820 is about 2971.6695644031. The cubic root of 8830820 is about 206.6967640292.

The spelling of 8830820 in words is "eight million, eight hundred thirty thousand, eight hundred twenty".