6886368 has 36 divisors (see below), whose sum is σ = 19583928. Its totient is φ = 2295360.

The previous prime is 6886367. The next prime is 6886387. The reversal of 6886368 is 8636886.

6886368 is a `hidden beast` number, since 6 + 8 + 8 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6886367) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11668 + ... + 12243.

It is an arithmetic number, because the mean of its divisors is an integer number (543998).

Almost surely, 2^6886368 is an apocalyptic number.

It is an amenable number.

6886368 is an abundant number, since it is smaller than the sum of its proper divisors (12697560).

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

6886368 is a wasteful number, since it uses less digits than its factorization.

6886368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23927 (or 23916 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 6886368 is about 2624.1890175824. The cubic root of 6886368 is about 190.2523700854.

It can be divided in two parts, 688 and 6368, that added together give a square (7056 = 84²).

The spelling of 6886368 in words is "six million, eight hundred eighty-six thousand, three hundred sixty-eight".