6846400 has 84 divisors (see below), whose sum is σ = 18425160. Its totient is φ = 2483200.

The previous prime is 6846397. The next prime is 6846409. The reversal of 6846400 is 46486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6846409) 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 11 ways as a sum of consecutive naturals, for example, 17406 + ... + 17794.

Almost surely, 2^6846400 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 6846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212580).

6846400 is an abundant number, since it is smaller than the sum of its proper divisors (11578760).

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

6846400 is a wasteful number, since it uses less digits than its factorization.

6846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 6846400 is about 2616.5626306282. The cubic root of 6846400 is about 189.8835851958.

The spelling of 6846400 in words is "six million, eight hundred forty-six thousand, four hundred".