6887616 has 56 divisors (see below), whose sum is σ = 18867120. Its totient is φ = 2214912.

The previous prime is 6887609. The next prime is 6887627. The reversal of 6887616 is 6167886.

6887616 is a nontrivial binomial coefficient, being equal to C(3712, 2).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4950 + ... + 6186.

Almost surely, 2^6887616 is an apocalyptic number.

6887616 is the 3711-st triangular number and also the 1856-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6887616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9433560).

6887616 is an abundant number, since it is smaller than the sum of its proper divisors (11979504).

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

6887616 is a wasteful number, since it uses less digits than its factorization.

6887616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1271 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 6887616 is about 2624.4267945591. The cubic root of 6887616 is about 190.2638623852.

It can be divided in two parts, 6887 and 616, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 6887616 in words is "six million, eight hundred eighty-seven thousand, six hundred sixteen".