6600 has 48 divisors (see below), whose sum is σ = 22320. Its totient is φ = 1600.

The previous prime is 6599. The next prime is 6607. The reversal of 6600 is 66.

6600 = T₂₉ + T₃₀ + ... + T₃₉.

It is a hoax number, since the sum of its digits (12) 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 (12).

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

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (6607) 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, 595 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (465).

6600 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 6600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160).

6600 is an abundant number, since it is smaller than the sum of its proper divisors (15720).

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

6600 is a wasteful number, since it uses less digits than its factorization.

6600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 6600 is about 81.2403840464. The cubic root of 6600 is about 18.7577745537.

Adding to 6600 its reverse (66), we get a palindrome (6666).

Multiplying 6600 by its reverse (66), we get a square (435600 = 660²).

6600 divided by its reverse (66) gives a square (100 = 10²).

It can be divided in two parts, 6 and 600, that multiplied together give a square (3600 = 60²).

The spelling of 6600 in words is "six thousand, six hundred".