6887000 has 64 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 2688000.

The previous prime is 6886981. The next prime is 6887059. The reversal of 6887000 is 7886.

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, 70952 + ... + 71048.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^6887000 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 6887000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

6887000 is an abundant number, since it is smaller than the sum of its proper divisors (9624040).

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

6887000 is a wasteful number, since it uses less digits than its factorization.

6887000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 6887000 is about 2624.3094329747. The cubic root of 6887000 is about 190.2581900774.

The spelling of 6887000 in words is "six million, eight hundred eighty-seven thousand".