6886920 has 64 divisors (see below), whose sum is σ = 21384000. Its totient is φ = 1772288.

The previous prime is 6886907. The next prime is 6886927. The reversal of 6886920 is 296886.

It is not an unprimeable number, because it can be changed into a prime (6886927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2491 + ... + 4469.

It is an arithmetic number, because the mean of its divisors is an integer number (334125).

Almost surely, 2^6886920 is an apocalyptic number.

6886920 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 6886920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692000).

6886920 is an abundant number, since it is smaller than the sum of its proper divisors (14497080).

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

6886920 is a wasteful number, since it uses less digits than its factorization.

6886920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 6886920 is about 2624.2941908254. The cubic root of 6886920 is about 190.2574533892.

The spelling of 6886920 in words is "six million, eight hundred eighty-six thousand, nine hundred twenty".