13580580 has 96 divisors (see below), whose sum is σ = 42787584. Its totient is φ = 3193344.

The previous prime is 13580579. The next prime is 13580587. The reversal of 13580580 is 8508531.

It is a happy number.

13580580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13580580³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13580587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17562 + ... + 18318.

It is an arithmetic number, because the mean of its divisors is an integer number (445704).

Almost surely, 2^13580580 is an apocalyptic number.

13580580 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 13580580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21393792).

13580580 is an abundant number, since it is smaller than the sum of its proper divisors (29207004).

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

13580580 is a wasteful number, since it uses less digits than its factorization.

13580580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 13580580 is about 3685.1838488738. The cubic root of 13580580 is about 238.5829693445.

The spelling of 13580580 in words is "thirteen million, five hundred eighty thousand, five hundred eighty".