6530580 has 144 divisors (see below), whose sum is σ = 23272704. Its totient is φ = 1451520.

The previous prime is 6530561. The next prime is 6530581. The reversal of 6530580 is 850356.

6530580 is a `hidden beast` number, since 653 + 0 + 5 + 8 + 0 = 666.

It is a super-3 number, since 3×6530580³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6530581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89424 + ... + 89496.

It is an arithmetic number, because the mean of its divisors is an integer number (161616).

Almost surely, 2^6530580 is an apocalyptic number.

6530580 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 2555×2556.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6530580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636352).

6530580 is an abundant number, since it is smaller than the sum of its proper divisors (16742124).

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

6530580 is a wasteful number, since it uses less digits than its factorization.

6530580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6530580 is about 2555.4999510859. The cubic root of 6530580 is about 186.9177672314.

The spelling of 6530580 in words is "six million, five hundred thirty thousand, five hundred eighty".