6488560 has 80 divisors (see below), whose sum is σ = 17248896. Its totient is φ = 2248704.

The previous prime is 6488551. The next prime is 6488563. The reversal of 6488560 is 658846.

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 not an unprimeable number, because it can be changed into a prime (6488563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17497 + ... + 17863.

Almost surely, 2^6488560 is an apocalyptic number.

6488560 is the 2080-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6488560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624448).

6488560 is an abundant number, since it is smaller than the sum of its proper divisors (10760336).

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

6488560 is a wasteful number, since it uses less digits than its factorization.

6488560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 6488560 is about 2547.2652001706. The cubic root of 6488560 is about 186.5160065517.

It can be divided in two parts, 6 and 488560, that added together give a triangular number (488566 = T₉₈₈).

The spelling of 6488560 in words is "six million, four hundred eighty-eight thousand, five hundred sixty".