13271680 has 64 divisors (see below), whose sum is σ = 32221800. Its totient is φ = 5226496.

The previous prime is 13271669. The next prime is 13271711. The reversal of 13271680 is 8617231.

13271680 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 6594624 + 6677056 = 2568^2 + 2584^2 .

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

It is a super-2 number, since 2×13271680² = 352274980044800, which contains 22 as substring.

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, 56844 + ... + 57076.

Almost surely, 2^13271680 is an apocalyptic number.

13271680 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 13271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16110900).

13271680 is an abundant number, since it is smaller than the sum of its proper divisors (18950120).

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

13271680 is an equidigital number, since it uses as much as digits as its factorization.

13271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 13271680 is about 3643.0317045011. The cubic root of 13271680 is about 236.7601649574.

The spelling of 13271680 in words is "thirteen million, two hundred seventy-one thousand, six hundred eighty".