6711138 has 48 divisors (see below), whose sum is σ = 16972800. Its totient is φ = 1915704.

The previous prime is 6711137. The next prime is 6711149. The reversal of 6711138 is 8311176.

6711138 is nontrivially palindromic in base 5.

It is not an unprimeable number, because it can be changed into a prime (6711137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5631 + ... + 6717.

It is an arithmetic number, because the mean of its divisors is an integer number (353600).

Almost surely, 2^6711138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6711138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8486400).

6711138 is an abundant number, since it is smaller than the sum of its proper divisors (10261662).

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

6711138 is a wasteful number, since it uses less digits than its factorization.

6711138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1099 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 6711138 is about 2590.5864200987. The cubic root of 6711138 is about 188.6247699354.

The spelling of 6711138 in words is "six million, seven hundred eleven thousand, one hundred thirty-eight".