6304160 has 72 divisors (see below), whose sum is σ = 15764868. Its totient is φ = 2380800.

The previous prime is 6304159. The next prime is 6304163. The reversal of 6304160 is 614036.

It can be written as a sum of positive squares in 2 ways, for example, as 5550736 + 753424 = 2356^2 + 868^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6304163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153740 + ... + 153780.

Almost surely, 2^6304160 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 6304160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7882434).

6304160 is an abundant number, since it is smaller than the sum of its proper divisors (9460708).

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

6304160 is a wasteful number, since it uses less digits than its factorization.

6304160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 6304160 is about 2510.8086346833. The cubic root of 6304160 is about 184.7321177690.

Adding to 6304160 its reverse (614036), we get a palindrome (6918196).

The spelling of 6304160 in words is "six million, three hundred four thousand, one hundred sixty".