9829864 has 32 divisors (see below), whose sum is σ = 20656800. Its totient is φ = 4345920.

The previous prime is 9829861. The next prime is 9829867. The reversal of 9829864 is 4689289.

It is an interprime number because it is at equal distance from previous prime (9829861) and next prime (9829867).

It is not an unprimeable number, because it can be changed into a prime (9829861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1747 + ... + 4765.

It is an arithmetic number, because the mean of its divisors is an integer number (645525).

Almost surely, 2^9829864 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 9829864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10328400).

9829864 is an abundant number, since it is smaller than the sum of its proper divisors (10826936).

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

9829864 is a wasteful number, since it uses less digits than its factorization.

9829864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3069 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The square root of 9829864 is about 3135.2613926115. The cubic root of 9829864 is about 214.2146505521.

The spelling of 9829864 in words is "nine million, eight hundred twenty-nine thousand, eight hundred sixty-four".