9804033960 has 256 divisors, whose sum is σ = 36740874240. Its totient is φ = 2040975360.

The previous prime is 9804033959. The next prime is 9804033961. The reversal of 9804033960 is 693304089.

9804033960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9804033959) and next prime (9804033961).

It is a super-2 number, since 2×9804033960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (9804033961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431607 + ... + 453753.

It is an arithmetic number, because the mean of its divisors is an integer number (143519040).

Almost surely, 2^9804033960 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 9804033960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18370437120).

9804033960 is an abundant number, since it is smaller than the sum of its proper divisors (26936840280).

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

9804033960 is a wasteful number, since it uses less digits than its factorization.

9804033960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22216 (or 22212 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 9804033960 is about 99015.3218446519. The cubic root of 9804033960 is about 2140.2685457966.

The spelling of 9804033960 in words is "nine billion, eight hundred four million, thirty-three thousand, nine hundred sixty".