6882120 has 96 divisors (see below), whose sum is σ = 25571520. Its totient is φ = 1572480.

The previous prime is 6882097. The next prime is 6882131. The reversal of 6882120 is 212886.

6882120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1155 + ... + 3885.

It is an arithmetic number, because the mean of its divisors is an integer number (266370).

Almost surely, 2^6882120 is an apocalyptic number.

6882120 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 6882120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12785760).

6882120 is an abundant number, since it is smaller than the sum of its proper divisors (18689400).

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

6882120 is a wasteful number, since it uses less digits than its factorization.

6882120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6882120 is about 2623.3794998055. The cubic root of 6882120 is about 190.2132416552.

The spelling of 6882120 in words is "six million, eight hundred eighty-two thousand, one hundred twenty".