9818820 has 240 divisors, whose sum is σ = 36590400. Its totient is φ = 2177280.

The previous prime is 9818813. The next prime is 9818827. The reversal of 9818820 is 288189.

It is an interprime number because it is at equal distance from previous prime (9818813) and next prime (9818827).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9818827) 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 79 ways as a sum of consecutive naturals, for example, 338566 + ... + 338594.

It is an arithmetic number, because the mean of its divisors is an integer number (152460).

Almost surely, 2^9818820 is an apocalyptic number.

9818820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9818820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200).

9818820 is an abundant number, since it is smaller than the sum of its proper divisors (26771580).

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

9818820 is a wasteful number, since it uses less digits than its factorization.

9818820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 9818820 is about 3133.4996409765. The cubic root of 9818820 is about 214.1343960286.

It can be divided in two parts, 981 and 8820, that added together give a square (9801 = 99²).

The spelling of 9818820 in words is "nine million, eight hundred eighteen thousand, eight hundred twenty".