6565680 has 120 divisors (see below), whose sum is σ = 24083280. Its totient is φ = 1589760.

The previous prime is 6565661. The next prime is 6565681. The reversal of 6565680 is 865656.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6565681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7506 + ... + 8334.

It is an arithmetic number, because the mean of its divisors is an integer number (200694).

Almost surely, 2^6565680 is an apocalyptic number.

6565680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12041640).

6565680 is an abundant number, since it is smaller than the sum of its proper divisors (17517600).

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

6565680 is a wasteful number, since it uses less digits than its factorization.

6565680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6565680 is about 2562.3582887645. The cubic root of 6565680 is about 187.2520455771.

It can be divided in two parts, 656 and 5680, that added together give a palindrome (6336).

The spelling of 6565680 in words is "six million, five hundred sixty-five thousand, six hundred eighty".