6846456 has 64 divisors (see below), whose sum is σ = 18201600. Its totient is φ = 2141568.

The previous prime is 6846449. The next prime is 6846473. The reversal of 6846456 is 6546486.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43530 + ... + 43686.

It is an arithmetic number, because the mean of its divisors is an integer number (284400).

Almost surely, 2^6846456 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 6846456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9100800).

6846456 is an abundant number, since it is smaller than the sum of its proper divisors (11355144).

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

6846456 is a wasteful number, since it uses less digits than its factorization.

6846456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 6846456 is about 2616.5733316687. The cubic root of 6846456 is about 189.8841029108.

It can be divided in two parts, 684 and 6456, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 6846456 in words is "six million, eight hundred forty-six thousand, four hundred fifty-six".