6288 has 20 divisors (see below), whose sum is σ = 16368. Its totient is φ = 2080.

The previous prime is 6287. The next prime is 6299. The reversal of 6288 is 8826.

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 not an unprimeable number, because it can be changed into a prime (6287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18 + ... + 113.

2⁶²⁸⁸ is an apocalyptic number.

It is an amenable number.

6288 is an abundant number, since it is smaller than the sum of its proper divisors (10080).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184).

6288 is a wasteful number, since it uses less digits than its factorization.

6288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 6288 is about 79.2969104064. The cubic root of 6288 is about 18.4574136084.

6288 divided by its sum of digits (24) gives a palindrome (262).

Adding to 6288 its product of digits (768), we get a square (7056 = 84²).

It can be divided in two parts, 628 and 8, that added together give a palindrome (636).

The spelling of 6288 in words is "six thousand, two hundred eighty-eight".