6880896 has 128 divisors (see below), whose sum is σ = 22276800. Its totient is φ = 2073600.

The previous prime is 6880891. The next prime is 6880931. The reversal of 6880896 is 6980886.

6880896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6880891) 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 15 ways as a sum of consecutive naturals, for example, 37926 + ... + 38106.

Almost surely, 2^6880896 is an apocalyptic number.

6880896 is a gapful number since it is divisible by the number (66) 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 6880896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138400).

6880896 is an abundant number, since it is smaller than the sum of its proper divisors (15395904).

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

6880896 is a wasteful number, since it uses less digits than its factorization.

6880896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 6880896 is about 2623.1462025591. The cubic root of 6880896 is about 190.2019643738.

It can be divided in two parts, 6880 and 896, that added together give a 5-th power (7776 = 6⁵).

The spelling of 6880896 in words is "six million, eight hundred eighty thousand, eight hundred ninety-six".