13182080 has 64 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 5139456.

The previous prime is 13182077. The next prime is 13182109. The reversal of 13182080 is 8028131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27281 + ... + 27759.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 2^13182080 is an apocalyptic number.

13182080 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 13182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

13182080 is an abundant number, since it is smaller than the sum of its proper divisors (19131520).

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

13182080 is an equidigital number, since it uses as much as digits as its factorization.

13182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 13182080 is about 3630.7134285151. The cubic root of 13182080 is about 236.2261549424.

The spelling of 13182080 in words is "thirteen million, one hundred eighty-two thousand, eighty".