6004560 has 80 divisors (see below), whose sum is σ = 18855936. Its totient is φ = 1580544.

The previous prime is 6004549. The next prime is 6004561. The reversal of 6004560 is 654006.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30382 + ... + 30578.

Almost surely, 2^6004560 is an apocalyptic number.

6004560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9427968).

6004560 is an abundant number, since it is smaller than the sum of its proper divisors (12851376).

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

6004560 is a wasteful number, since it uses less digits than its factorization.

6004560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 6004560 is about 2450.4203720994. The cubic root of 6004560 is about 181.7580813479.

Adding to 6004560 its reverse (654006), we get a palindrome (6658566).

The spelling of 6004560 in words is "six million, four thousand, five hundred sixty".