6846672 has 120 divisors (see below), whose sum is σ = 21373632. Its totient is φ = 1881600.

The previous prime is 6846649. The next prime is 6846673. The reversal of 6846672 is 2766486.

It is a nude number because it is divisible by every one of its digits.

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 6846672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6846673) 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, 96397 + ... + 96467.

Almost surely, 2^6846672 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 6846672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686816).

6846672 is an abundant number, since it is smaller than the sum of its proper divisors (14526960).

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

6846672 is a wasteful number, since it uses less digits than its factorization.

6846672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 6846672 is about 2616.6146067008. The cubic root of 6846672 is about 189.8860997850.

The spelling of 6846672 in words is "six million, eight hundred forty-six thousand, six hundred seventy-two".