13582080 has 180 divisors, whose sum is σ = 48970152. Its totient is φ = 3594240.

The previous prime is 13582069. The next prime is 13582097. The reversal of 13582080 is 8028531.

It is a happy number.

13582080 is a `hidden beast` number, since 1 + 3 + 582 + 0 + 80 = 666.

13582080 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 (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103615 + ... + 103745.

Almost surely, 2^13582080 is an apocalyptic number.

13582080 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 13582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24485076).

13582080 is an abundant number, since it is smaller than the sum of its proper divisors (35388072).

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

13582080 is an equidigital number, since it uses as much as digits as its factorization.

13582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13582080 is about 3685.3873609161. The cubic root of 13582080 is about 238.5917529968.

It can be divided in two parts, 135 and 82080, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 13582080 in words is "thirteen million, five hundred eighty-two thousand, eighty".