6681864 has 64 divisors (see below), whose sum is σ = 19722240. Its totient is φ = 1846080.

The previous prime is 6681847. The next prime is 6681877. The reversal of 6681864 is 4681866.

6681864 = T₆₄ + T₆₅ + ... + T₃₄₂.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4567 + ... + 5849.

It is an arithmetic number, because the mean of its divisors is an integer number (308160).

Almost surely, 2^6681864 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 6681864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9861120).

6681864 is an abundant number, since it is smaller than the sum of its proper divisors (13040376).

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

6681864 is a wasteful number, since it uses less digits than its factorization.

6681864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1326 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 6681864 is about 2584.9301731381. The cubic root of 6681864 is about 188.3501096254.

The spelling of 6681864 in words is "six million, six hundred eighty-one thousand, eight hundred sixty-four".