9825920 has 64 divisors (see below), whose sum is σ = 25318440. Its totient is φ = 3624960.

The previous prime is 9825913. The next prime is 9825929. The reversal of 9825920 is 295289.

It can be written as a sum of positive squares in 4 ways, for example, as 8248384 + 1577536 = 2872^2 + 1256^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (9825929) 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, 7730 + ... + 8910.

Almost surely, 2^9825920 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 9825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12659220).

9825920 is an abundant number, since it is smaller than the sum of its proper divisors (15492520).

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

9825920 is a wasteful number, since it uses less digits than its factorization.

9825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 9825920 is about 3134.6323548384. The cubic root of 9825920 is about 214.1859972021.

The spelling of 9825920 in words is "nine million, eight hundred twenty-five thousand, nine hundred twenty".