6887166 has 64 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 1837440.

The previous prime is 6887161. The next prime is 6887171. The reversal of 6887166 is 6617886.

It is an interprime number because it is at equal distance from previous prime (6887161) and next prime (6887171).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6887161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19560 + ... + 19908.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^6887166 is an apocalyptic number.

6887166 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6887166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

6887166 is an abundant number, since it is smaller than the sum of its proper divisors (10047234).

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

6887166 is a wasteful number, since it uses less digits than its factorization.

6887166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401.

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

The square root of 6887166 is about 2624.3410601521. The cubic root of 6887166 is about 190.2597186871.

The spelling of 6887166 in words is "six million, eight hundred eighty-seven thousand, one hundred sixty-six".