6300 has 54 divisors (see below), whose sum is σ = 22568. Its totient is φ = 1440.

The previous prime is 6299. The next prime is 6301. The reversal of 6300 is 36.

It is an interprime number because it is at equal distance from previous prime (6299) and next prime (6301).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6300.

It is not an unprimeable number, because it can be changed into a prime (6301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 897 + ... + 903.

6300 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 6300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11284).

6300 is an abundant number, since it is smaller than the sum of its proper divisors (16268).

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

6300 is a wasteful number, since it uses less digits than its factorization.

6300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 6300 is about 79.3725393319. The cubic root of 6300 is about 18.4691475045.

Adding to 6300 its reverse (36), we get a palindrome (6336).

The spelling of 6300 in words is "six thousand, three hundred".