13641280 has 56 divisors (see below), whose sum is σ = 33211008. Its totient is φ = 5334528.

The previous prime is 13641269. The next prime is 13641283. The reversal of 13641280 is 8214631.

It is not an unprimeable number, because it can be changed into a prime (13641283) by changing a digit.

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, 14587 + ... + 15493.

Almost surely, 2^13641280 is an apocalyptic number.

13641280 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 13641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16605504).

13641280 is an abundant number, since it is smaller than the sum of its proper divisors (19569728).

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

13641280 is an equidigital number, since it uses as much as digits as its factorization.

13641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 13641280 is about 3693.4103481742. The cubic root of 13641280 is about 238.9378992847.

The spelling of 13641280 in words is "thirteen million, six hundred forty-one thousand, two hundred eighty".