6864 has 40 divisors (see below), whose sum is σ = 20832.
Its totient is φ = 1920.
The previous prime is 6863. The next prime is 6869. The reversal of 6864 is 4686.
It can be divided in two parts, 686 and 4, that multiplied together give a cube (2744 = 143).
It is a super-2 number, since 2×68642 = 94228992, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
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 (6863) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522 + ... + 534.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 6864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416).
6864 is an abundant number, since it is smaller than the sum of its proper divisors (13968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6864 is a wasteful number, since it uses less digits than its factorization.
6864 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 35 (or 29 counting only the distinct ones).
The product of its digits is 1152, while the sum is 24.
The square root of 6864 is about 82.8492607088.
The cubic root of 6864 is about 19.0046156838.
The spelling of 6864 in words is "six thousand, eight hundred sixty-four".