6887672 has 64 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 2886400.

The previous prime is 6887663. The next prime is 6887677. The reversal of 6887672 is 2767886.

It is a happy number.

6887672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6887677) 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 15 ways as a sum of consecutive naturals, for example, 82943 + ... + 83025.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 2^6887672 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 6887672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

6887672 is an abundant number, since it is smaller than the sum of its proper divisors (8353288).

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

6887672 is a wasteful number, since it uses less digits than its factorization.

6887672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its digits is 225792, while the sum is 44.

The square root of 6887672 is about 2624.4374635339. The cubic root of 6887672 is about 190.2643780328.

The spelling of 6887672 in words is "six million, eight hundred eighty-seven thousand, six hundred seventy-two".