6882560 has 72 divisors (see below), whose sum is σ = 17414880. Its totient is φ = 2598912.

The previous prime is 6882553. The next prime is 6882581. The reversal of 6882560 is 652886.

It is a self number, because there is not a number n which added to its sum of digits gives 6882560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24179 + ... + 24461.

Almost surely, 2^6882560 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 6882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8707440).

6882560 is an abundant number, since it is smaller than the sum of its proper divisors (10532320).

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

6882560 is a wasteful number, since it uses less digits than its factorization.

6882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 6882560 is about 2623.4633597594. The cubic root of 6882560 is about 190.2172952532.

It can be divided in two parts, 68 and 82560, that added together give a palindrome (82628).

The spelling of 6882560 in words is "six million, eight hundred eighty-two thousand, five hundred sixty".