13027680 has 144 divisors (see below), whose sum is σ = 45405360. Its totient is φ = 3400704.

The previous prime is 13027669. The next prime is 13027691. The reversal of 13027680 is 8672031.

It is an interprime number because it is at equal distance from previous prime (13027669) and next prime (13027691).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119466 + ... + 119574.

It is an arithmetic number, because the mean of its divisors is an integer number (315315).

Almost surely, 2^13027680 is an apocalyptic number.

13027680 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 13027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22702680).

13027680 is an abundant number, since it is smaller than the sum of its proper divisors (32377680).

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

13027680 is a wasteful number, since it uses less digits than its factorization.

13027680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13027680 is about 3609.3877597177. The cubic root of 13027680 is about 235.3002349390.

The spelling of 13027680 in words is "thirteen million, twenty-seven thousand, six hundred eighty".