6876560 has 40 divisors (see below), whose sum is σ = 16368000. Its totient is φ = 2685312.

The previous prime is 6876539. The next prime is 6876581. The reversal of 6876560 is 656786.

6876560 = T₁₆₅₆ + T₁₆₅₇ + ... + T₁₆₆₀.

It is an interprime number because it is at equal distance from previous prime (6876539) and next prime (6876581).

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2441 + ... + 4439.

It is an arithmetic number, because the mean of its divisors is an integer number (409200).

Almost surely, 2^6876560 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 6876560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184000).

6876560 is an abundant number, since it is smaller than the sum of its proper divisors (9491440).

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

6876560 is a wasteful number, since it uses less digits than its factorization.

6876560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 6876560 is about 2622.3195838799. The cubic root of 6876560 is about 190.1620040252.

The spelling of 6876560 in words is "six million, eight hundred seventy-six thousand, five hundred sixty".