9805920 has 96 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 2526720.

The previous prime is 9805907. The next prime is 9805921. The reversal of 9805920 is 295089.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9805921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14551 + ... + 15209.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 2^9805920 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 9805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

9805920 is an abundant number, since it is smaller than the sum of its proper divisors (22127520).

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

9805920 is a wasteful number, since it uses less digits than its factorization.

9805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 9805920 is about 3131.4405630636. The cubic root of 9805920 is about 214.0405780914.

The spelling of 9805920 in words is "nine million, eight hundred five thousand, nine hundred twenty".