10838940 has 96 divisors (see below), whose sum is σ = 35126784. Its totient is φ = 2446080.

The previous prime is 10838929. The next prime is 10838941. The reversal of 10838940 is 4983801.

10838940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54922 + ... + 55118.

It is an arithmetic number, because the mean of its divisors is an integer number (365904).

Almost surely, 2^10838940 is an apocalyptic number.

10838940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10838940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563392).

10838940 is an abundant number, since it is smaller than the sum of its proper divisors (24287844).

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

10838940 is a wasteful number, since it uses less digits than its factorization.

10838940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 10838940 is about 3292.2545466595. The cubic root of 10838940 is about 221.3072308777.

The spelling of 10838940 in words is "ten million, eight hundred thirty-eight thousand, nine hundred forty".