6002000 has 40 divisors (see below), whose sum is σ = 14517672. Its totient is φ = 2400000.

The previous prime is 6001997. The next prime is 6002033. The reversal of 6002000 is 2006.

It can be written as a sum of positive squares in 4 ways, for example, as 222784 + 5779216 = 472^2 + 2404^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent 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, 500 + ... + 3500.

Almost surely, 2^6002000 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 6002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7258836).

6002000 is an abundant number, since it is smaller than the sum of its proper divisors (8515672).

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

6002000 is a wasteful number, since it uses less digits than its factorization.

6002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 6002000 is about 2449.8979570586. The cubic root of 6002000 is about 181.7322472691.

Adding to 6002000 its reverse (2006), we get a palindrome (6004006).

The spelling of 6002000 in words is "six million, two thousand", and thus it is an eban number.