6838938 has 32 divisors (see below), whose sum is σ = 15379200. Its totient is φ = 2252448.

The previous prime is 6838927. The next prime is 6838943. The reversal of 6838938 is 8398386.

It is a junction number, because it is equal to n+sod(n) for n = 6838893 and 6838902.

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, 4095 + ... + 5517.

It is an arithmetic number, because the mean of its divisors is an integer number (480600).

Almost surely, 2^6838938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6838938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689600).

6838938 is an abundant number, since it is smaller than the sum of its proper divisors (8540262).

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

6838938 is a wasteful number, since it uses less digits than its factorization.

6838938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1517 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 6838938 is about 2615.1363253184. The cubic root of 6838938 is about 189.8145744069.

It can be divided in two parts, 6838 and 938, that added together give a 5-th power (7776 = 6⁵).

The spelling of 6838938 in words is "six million, eight hundred thirty-eight thousand, nine hundred thirty-eight".