9820984140 has 432 divisors, whose sum is σ = 34898992128. Its totient is φ = 2213568000.

The previous prime is 9820984127. The next prime is 9820984141. The reversal of 9820984140 is 414890289.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9820984141) 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 143 ways as a sum of consecutive naturals, for example, 160999710 + ... + 160999770.

It is an arithmetic number, because the mean of its divisors is an integer number (80784704).

Almost surely, 2^9820984140 is an apocalyptic number.

9820984140 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 9820984140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17449496064).

9820984140 is an abundant number, since it is smaller than the sum of its proper divisors (25078007988).

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

9820984140 is a wasteful number, since it uses less digits than its factorization.

9820984140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 9820984140 is about 99100.8786035724. The cubic root of 9820984140 is about 2141.5012713715.

The spelling of 9820984140 in words is "nine billion, eight hundred twenty million, nine hundred eighty-four thousand, one hundred forty".