9218820 has 96 divisors (see below), whose sum is σ = 28449792. Its totient is φ = 2216448.

The previous prime is 9218773. The next prime is 9218821. The reversal of 9218820 is 288129.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (9218821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41229 + ... + 41451.

It is an arithmetic number, because the mean of its divisors is an integer number (296352).

Almost surely, 2^9218820 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 9218820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224896).

9218820 is an abundant number, since it is smaller than the sum of its proper divisors (19230972).

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

9218820 is a wasteful number, since it uses less digits than its factorization.

9218820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 9218820 is about 3036.2509777685. The cubic root of 9218820 is about 209.6806938777.

The spelling of 9218820 in words is "nine million, two hundred eighteen thousand, eight hundred twenty".