9910820 has 48 divisors (see below), whose sum is σ = 21833280. Its totient is φ = 3775104.

The previous prime is 9910811. The next prime is 9910829. The reversal of 9910820 is 280199.

It is an interprime number because it is at equal distance from previous prime (9910811) and next prime (9910829).

It is not an unprimeable number, because it can be changed into a prime (9910829) 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 15 ways as a sum of consecutive naturals, for example, 43547 + ... + 43773.

It is an arithmetic number, because the mean of its divisors is an integer number (454860).

Almost surely, 2^9910820 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 9910820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10916640).

9910820 is an abundant number, since it is smaller than the sum of its proper divisors (11922460).

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

9910820 is a wasteful number, since it uses less digits than its factorization.

9910820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 9910820 is about 3148.1454858377. The cubic root of 9910820 is about 214.8011140761.

The spelling of 9910820 in words is "nine million, nine hundred ten thousand, eight hundred twenty".