6938140 has 72 divisors (see below), whose sum is σ = 16623936. Its totient is φ = 2428800.

The previous prime is 6938131. The next prime is 6938147. The reversal of 6938140 is 418396.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6938147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113710 + ... + 113770.

It is an arithmetic number, because the mean of its divisors is an integer number (230888).

Almost surely, 2^6938140 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 6938140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311968).

6938140 is an abundant number, since it is smaller than the sum of its proper divisors (9685796).

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

6938140 is a wasteful number, since it uses less digits than its factorization.

6938140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 6938140 is about 2634.0349276348. The cubic root of 6938140 is about 190.7279553135.

The spelling of 6938140 in words is "six million, nine hundred thirty-eight thousand, one hundred forty".