9865920 has 112 divisors (see below), whose sum is σ = 32186880. Its totient is φ = 2558976.

The previous prime is 9865907. The next prime is 9865927. The reversal of 9865920 is 295689.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9865927) 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, 41161 + ... + 41399.

Almost surely, 2^9865920 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 9865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16093440).

9865920 is an abundant number, since it is smaller than the sum of its proper divisors (22320960).

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

9865920 is a wasteful number, since it uses less digits than its factorization.

9865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 9865920 is about 3141.0062082078. The cubic root of 9865920 is about 214.4762445098.

Subtracting from 9865920 its sum of digits (39), we obtain a square (9865881 = 3141²).

The spelling of 9865920 in words is "nine million, eight hundred sixty-five thousand, nine hundred twenty".