6900 has 36 divisors (see below), whose sum is σ = 20832. Its totient is φ = 1760.

The previous prime is 6899. The next prime is 6907. The reversal of 6900 is 96.

6900 = 5² + 6² + ... + 27².

It is a super-2 number, since 2×6900² = 95220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 6900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289 + ... + 311.

2⁶⁹⁰⁰ is an apocalyptic number.

6900 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 6900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416).

6900 is an abundant number, since it is smaller than the sum of its proper divisors (13932).

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

6900 is a wasteful number, since it uses less digits than its factorization.

6900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 6900 is about 83.0662386292. The cubic root of 6900 is about 19.0377826196.

Adding to 6900 its reverse (96), we get a palindrome (6996).

The spelling of 6900 in words is "six thousand, nine hundred".