6004980 has 72 divisors (see below), whose sum is σ = 18505032. Its totient is φ = 1575936.

The previous prime is 6004963. The next prime is 6004981. The reversal of 6004980 is 894006.

6004980 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1695204 + 4309776 = 1302^2 + 2076^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12912 + ... + 13368.

Almost surely, 2^6004980 is an apocalyptic number.

6004980 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 6004980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9252516).

6004980 is an abundant number, since it is smaller than the sum of its proper divisors (12500052).

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

6004980 is a wasteful number, since it uses less digits than its factorization.

6004980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6004980 is about 2450.5060701822. The cubic root of 6004980 is about 181.7623190503.

Adding to 6004980 its reverse (894006), we get a palindrome (6898986).

The spelling of 6004980 in words is "six million, four thousand, nine hundred eighty".