6504960 has 240 divisors, whose sum is σ = 26123328. Its totient is φ = 1351680.

The previous prime is 6504923. The next prime is 6504977. The reversal of 6504960 is 694056.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591355 + ... + 591365.

Almost surely, 2^6504960 is an apocalyptic number.

6504960 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 6504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13061664).

6504960 is an abundant number, since it is smaller than the sum of its proper divisors (19618368).

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

6504960 is a wasteful number, since it uses less digits than its factorization.

6504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6504960 is about 2550.4823073293. The cubic root of 6504960 is about 186.6730156571.

The spelling of 6504960 in words is "six million, five hundred four thousand, nine hundred sixty".