6886320 has 80 divisors (see below), whose sum is σ = 24403200. Its totient is φ = 1573632.

The previous prime is 6886301. The next prime is 6886331. The reversal of 6886320 is 236886.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370 + ... + 3729.

It is an arithmetic number, because the mean of its divisors is an integer number (305040).

Almost surely, 2^6886320 is an apocalyptic number.

6886320 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 6886320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12201600).

6886320 is an abundant number, since it is smaller than the sum of its proper divisors (17516880).

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

6886320 is a wasteful number, since it uses less digits than its factorization.

6886320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6886320 is about 2624.1798718838. The cubic root of 6886320 is about 190.2519280462.

The spelling of 6886320 in words is "six million, eight hundred eighty-six thousand, three hundred twenty".