9683920 has 80 divisors (see below), whose sum is σ = 24819840. Its totient is φ = 3497472.

The previous prime is 9683911. The next prime is 9683951. The reversal of 9683920 is 293869.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 9683920.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34822 + ... + 35098.

It is an arithmetic number, because the mean of its divisors is an integer number (310248).

Almost surely, 2^9683920 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 9683920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12409920).

9683920 is an abundant number, since it is smaller than the sum of its proper divisors (15135920).

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

9683920 is a wasteful number, since it uses less digits than its factorization.

9683920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 9683920 is about 3111.8997413156. The cubic root of 9683920 is about 213.1492117957.

It can be divided in two parts, 9 and 683920, that added together give a square (683929 = 827²).

The spelling of 9683920 in words is "nine million, six hundred eighty-three thousand, nine hundred twenty".