10838320 has 20 divisors (see below), whose sum is σ = 25199280. Its totient is φ = 4335296.

The previous prime is 10838293. The next prime is 10838323. The reversal of 10838320 is 2383801.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (10838323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67660 + ... + 67819.

It is an arithmetic number, because the mean of its divisors is an integer number (1259964).

Almost surely, 2^10838320 is an apocalyptic number.

10838320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10838320 is an abundant number, since it is smaller than the sum of its proper divisors (14360960).

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

10838320 is a wasteful number, since it uses less digits than its factorization.

10838320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135492 (or 135486 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 10838320 is about 3292.1603849144. The cubic root of 10838320 is about 221.3030111201.

The spelling of 10838320 in words is "ten million, eight hundred thirty-eight thousand, three hundred twenty".