13590080 has 56 divisors (see below), whose sum is σ = 36990528. Its totient is φ = 4658688.

The previous prime is 13590053. The next prime is 13590127. The reversal of 13590080 is 8009531.

13590080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 794 + ... + 5273.

Almost surely, 2^13590080 is an apocalyptic number.

13590080 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 13590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495264).

13590080 is an abundant number, since it is smaller than the sum of its proper divisors (23400448).

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

13590080 is an equidigital number, since it uses as much as digits as its factorization.

13590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6091 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 13590080 is about 3686.4725687302. The cubic root of 13590080 is about 238.6385882236.

The spelling of 13590080 in words is "thirteen million, five hundred ninety thousand, eighty".