6504240 has 80 divisors (see below), whose sum is σ = 20686176. Its totient is φ = 1689600.

The previous prime is 6504233. The next prime is 6504257. The reversal of 6504240 is 424056.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9510 + ... + 10170.

Almost surely, 2^6504240 is an apocalyptic number.

6504240 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 6504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10343088).

6504240 is an abundant number, since it is smaller than the sum of its proper divisors (14181936).

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

6504240 is a wasteful number, since it uses less digits than its factorization.

6504240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 6504240 is about 2550.3411536498. The cubic root of 6504240 is about 186.6661281164. Note that the first 3 decimals are identical.

Adding to 6504240 its reverse (424056), we get a palindrome (6928296).

The spelling of 6504240 in words is "six million, five hundred four thousand, two hundred forty".