6008 has 8 divisors (see below), whose sum is σ = 11280. Its totient is φ = 3000.

The previous prime is 6007. The next prime is 6011. The reversal of 6008 is 8006.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 12 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 5983 and 6001.

It is a congruent number.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 368 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (1410).

2⁶⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

6008 is a deficient number, since it is larger than the sum of its proper divisors (5272).

6008 is a wasteful number, since it uses less digits than its factorization.

6008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 6008 is about 77.5112895003. The cubic root of 6008 is about 18.1792784331.

The spelling of 6008 in words is "six thousand, eight".