6880640 has 64 divisors (see below), whose sum is σ = 17735760. Its totient is φ = 2537472.

The previous prime is 6880637. The next prime is 6880649. The reversal of 6880640 is 460886.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 6880597 and 6880606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6880649) by changing a digit.

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, 7907 + ... + 8733.

Almost surely, 2^6880640 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 6880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8867880).

6880640 is an abundant number, since it is smaller than the sum of its proper divisors (10855120).

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

6880640 is a wasteful number, since it uses less digits than its factorization.

6880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 6880640 is about 2623.0974057400. The cubic root of 6880640 is about 190.1996055576.

It can be divided in two parts, 68 and 80640, that added together give a palindrome (80708).

The spelling of 6880640 in words is "six million, eight hundred eighty thousand, six hundred forty".