6508960 has 48 divisors (see below), whose sum is σ = 16288776. Its totient is φ = 2449408.

The previous prime is 6508951. The next prime is 6508969. The reversal of 6508960 is 698056.

It is an interprime number because it is at equal distance from previous prime (6508951) and next prime (6508969).

It can be written as a sum of positive squares in 4 ways, for example, as 4210704 + 2298256 = 2052^2 + 1516^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (6508969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1524 + ... + 3916.

Almost surely, 2^6508960 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 6508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144388).

6508960 is an abundant number, since it is smaller than the sum of its proper divisors (9779816).

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

6508960 is a wasteful number, since it uses less digits than its factorization.

6508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 6508960 is about 2551.2663522259. The cubic root of 6508960 is about 186.7112705202.

The spelling of 6508960 in words is "six million, five hundred eight thousand, nine hundred sixty".