6846896 has 40 divisors (see below), whose sum is σ = 15323424. Its totient is φ = 2903040.

The previous prime is 6846881. The next prime is 6846899. The reversal of 6846896 is 6986486.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 6846896.

It is not an unprimeable number, because it can be changed into a prime (6846899) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12386 + ... + 12926.

Almost surely, 2^6846896 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 6846896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7661712).

6846896 is an abundant number, since it is smaller than the sum of its proper divisors (8476528).

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

6846896 is a wasteful number, since it uses less digits than its factorization.

6846896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The square root of 6846896 is about 2616.6574097501. The cubic root of 6846896 is about 189.8881705732. Note that the first 3 decimals are identical.

It can be divided in two parts, 68 and 46896, that added together give a palindrome (46964).

The spelling of 6846896 in words is "six million, eight hundred forty-six thousand, eight hundred ninety-six".