6880920 has 64 divisors (see below), whose sum is σ = 21863520. Its totient is φ = 1726464.

The previous prime is 6880891. The next prime is 6880931. The reversal of 6880920 is 290886.

6880920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354 + ... + 3726.

Almost surely, 2^6880920 is an apocalyptic number.

6880920 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 6880920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10931760).

6880920 is an abundant number, since it is smaller than the sum of its proper divisors (14982600).

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

6880920 is a wasteful number, since it uses less digits than its factorization.

6880920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 6880920 is about 2623.1507772143. The cubic root of 6880920 is about 190.2021855098.

The spelling of 6880920 in words is "six million, eight hundred eighty thousand, nine hundred twenty".