9632838120 has 128 divisors (see below), whose sum is σ = 30500496000. Its totient is φ = 2427079680.

The previous prime is 9632838109. The next prime is 9632838121. The reversal of 9632838120 is 218382369.

9632838120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9632838120² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9632838121) 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 31 ways as a sum of consecutive naturals, for example, 881490 + ... + 892350.

It is an arithmetic number, because the mean of its divisors is an integer number (238285125).

Almost surely, 2^9632838120 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 9632838120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15250248000).

9632838120 is an abundant number, since it is smaller than the sum of its proper divisors (20867657880).

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

9632838120 is a wasteful number, since it uses less digits than its factorization.

9632838120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11283 (or 11279 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 9632838120 is about 98147.0229808322. The cubic root of 9632838120 is about 2127.7376936798.

The spelling of 9632838120 in words is "nine billion, six hundred thirty-two million, eight hundred thirty-eight thousand, one hundred twenty".