6682564 has 48 divisors (see below), whose sum is σ = 14394240. Its totient is φ = 2649600.

The previous prime is 6682561. The next prime is 6682573. The reversal of 6682564 is 4652866.

It is a super-2 number, since 2×6682564² = 89313323228192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6682561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48007 + ... + 48145.

It is an arithmetic number, because the mean of its divisors is an integer number (299880).

Almost surely, 2^6682564 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 6682564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120).

6682564 is an abundant number, since it is smaller than the sum of its proper divisors (7711676).

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

6682564 is a wasteful number, since it uses less digits than its factorization.

6682564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 6682564 is about 2585.0655697680. The cubic root of 6682564 is about 188.3566866560.

The spelling of 6682564 in words is "six million, six hundred eighty-two thousand, five hundred sixty-four".