6008000 has 56 divisors (see below), whose sum is σ = 14898624. Its totient is φ = 2400000.

The previous prime is 6007999. The next prime is 6008033. The reversal of 6008000 is 8006.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7625 + ... + 8375.

Almost surely, 2^6008000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449312).

6008000 is an abundant number, since it is smaller than the sum of its proper divisors (8890624).

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

6008000 is an equidigital number, since it uses as much as digits as its factorization.

6008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 758 counting only the distinct ones).

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

The square root of 6008000 is about 2451.1221919766. The cubic root of 6008000 is about 181.7927843313.

The spelling of 6008000 in words is "six million, eight thousand".