13530580 has 48 divisors (see below), whose sum is σ = 32772096. Its totient is φ = 4596480.

The previous prime is 13530563. The next prime is 13530599. The reversal of 13530580 is 8503531.

It is a happy number.

It is a super-3 number, since 3×13530580³ (a number of 22 digits) contains 333 as substring.

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, 17400 + ... + 18160.

It is an arithmetic number, because the mean of its divisors is an integer number (682752).

Almost surely, 2^13530580 is an apocalyptic number.

13530580 is a gapful number since it is divisible by the number (10) 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 13530580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386048).

13530580 is an abundant number, since it is smaller than the sum of its proper divisors (19241516).

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

13530580 is a wasteful number, since it uses less digits than its factorization.

13530580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 13530580 is about 3678.3936711559. The cubic root of 13530580 is about 238.2898100822.

The spelling of 13530580 in words is "thirteen million, five hundred thirty thousand, five hundred eighty".