6846138 has 48 divisors (see below), whose sum is σ = 16923816. Its totient is φ = 1981440.

The previous prime is 6846131. The next prime is 6846143. The reversal of 6846138 is 8316486.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6185169 + 660969 = 2487^2 + 813^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6846131) 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, 3118 + ... + 4838.

Almost surely, 2^6846138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6846138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8461908).

6846138 is an abundant number, since it is smaller than the sum of its proper divisors (10077678).

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

6846138 is a wasteful number, since it uses less digits than its factorization.

6846138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1756 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6846138 is about 2616.5125644644. The cubic root of 6846138 is about 189.8811629917.

Adding to 6846138 its product of digits (27648), we get a palindrome (6873786).

The spelling of 6846138 in words is "six million, eight hundred forty-six thousand, one hundred thirty-eight".