13580180 has 24 divisors (see below), whose sum is σ = 29127168. Its totient is φ = 5316128.

The previous prime is 13580173. The next prime is 13580183. The reversal of 13580180 is 8108531.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13580183) 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, 6284 + ... + 8163.

It is an arithmetic number, because the mean of its divisors is an integer number (1213632).

Almost surely, 2^13580180 is an apocalyptic number.

13580180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13580180 is an abundant number, since it is smaller than the sum of its proper divisors (15546988).

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

13580180 is a wasteful number, since it uses less digits than its factorization.

13580180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14503 (or 14501 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 13580180 is about 3685.1295770977. The cubic root of 13580180 is about 238.5806269280.

The spelling of 13580180 in words is "thirteen million, five hundred eighty thousand, one hundred eighty".