9834880 has 96 divisors (see below), whose sum is σ = 26046720. Its totient is φ = 3548160.

The previous prime is 9834871. The next prime is 9834883. The reversal of 9834880 is 884389.

It is a super-2 number, since 2×9834880² = 193449729228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9834883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77377 + ... + 77503.

It is an arithmetic number, because the mean of its divisors is an integer number (271320).

Almost surely, 2^9834880 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 9834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023360).

9834880 is an abundant number, since it is smaller than the sum of its proper divisors (16211840).

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

9834880 is a wasteful number, since it uses less digits than its factorization.

9834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 9834880 is about 3136.0612238922. The cubic root of 9834880 is about 214.2510809636.

The spelling of 9834880 in words is "nine million, eight hundred thirty-four thousand, eight hundred eighty".