13580080 has 20 divisors (see below), whose sum is σ = 31573872. Its totient is φ = 5432000.

The previous prime is 13580071. The next prime is 13580111. The reversal of 13580080 is 8008531.

It is a tau number, because it is divible by the number of its divisors (20).

It is a zygodrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84796 + ... + 84955.

Almost surely, 2^13580080 is an apocalyptic number.

13580080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13580080 is an abundant number, since it is smaller than the sum of its proper divisors (17993792).

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

13580080 is a wasteful number, since it uses less digits than its factorization.

13580080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169764 (or 169758 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 13580080 is about 3685.1160090288. The cubic root of 13580080 is about 238.5800413167.

The spelling of 13580080 in words is "thirteen million, five hundred eighty thousand, eighty".