9838920 has 256 divisors, whose sum is σ = 39191040. Its totient is φ = 1916928.

The previous prime is 9838919. The next prime is 9838931. The reversal of 9838920 is 298389.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185614 + ... + 185666.

It is an arithmetic number, because the mean of its divisors is an integer number (153090).

Almost surely, 2^9838920 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 9838920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

9838920 is an abundant number, since it is smaller than the sum of its proper divisors (29352120).

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

9838920 is a wasteful number, since it uses less digits than its factorization.

9838920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 9838920 is about 3136.7052778353. The cubic root of 9838920 is about 214.2804138371.

The spelling of 9838920 in words is "nine million, eight hundred thirty-eight thousand, nine hundred twenty".