6004000 has 96 divisors (see below), whose sum is σ = 15724800. Its totient is φ = 2246400.

The previous prime is 6003997. The next prime is 6004001. The reversal of 6004000 is 4006.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (6004001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 75961 + ... + 76039.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 2^6004000 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 6004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

6004000 is an abundant number, since it is smaller than the sum of its proper divisors (9720800).

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

6004000 is a wasteful number, since it uses less digits than its factorization.

6004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 6004000 is about 2450.3061033267. The cubic root of 6004000 is about 181.7524307707.

Adding to 6004000 its reverse (4006), we get a palindrome (6008006).

The spelling of 6004000 in words is "six million, four thousand", and thus it is an eban number.