6006 has 32 divisors (see below), whose sum is σ = 16128. Its totient is φ = 1440.

The previous prime is 5987. The next prime is 6007.

6006 is nontrivially palindromic in base 10.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 5982 and 6000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6007) by changing a digit.

6006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

2⁶⁰⁰⁶ is an apocalyptic number.

6006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a pronic number, being equal to 77×78.

It is a practical number, because each smaller number is the sum of distinct divisors of 6006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064).

6006 is an abundant number, since it is smaller than the sum of its proper divisors (10122).

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

6006 is a wasteful number, since it uses less digits than its factorization.

6006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36.

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

The square root of 6006 is about 77.4983870800. The cubic root of 6006 is about 18.1772609791.

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

The spelling of 6006 in words is "six thousand, six", and thus it is an eban number.