9829120 has 72 divisors (see below), whose sum is σ = 26931744. Its totient is φ = 3366912.

The previous prime is 9829103. The next prime is 9829129. The reversal of 9829120 is 219289.

It is a super-2 number, since 2×9829120² = 193223199948800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9829129) 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 7 ways as a sum of consecutive naturals, for example, 8412 + ... + 9508.

It is an arithmetic number, because the mean of its divisors is an integer number (374052).

Almost surely, 2^9829120 is an apocalyptic number.

9829120 is the 2560-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465872).

9829120 is an abundant number, since it is smaller than the sum of its proper divisors (17102624).

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

9829120 is a wasteful number, since it uses less digits than its factorization.

9829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 9829120 is about 3135.1427399721. The cubic root of 9829120 is about 214.2092459429.

The spelling of 9829120 in words is "nine million, eight hundred twenty-nine thousand, one hundred twenty".