13027960 has 64 divisors (see below), whose sum is σ = 33112800. Its totient is φ = 4569600.

The previous prime is 13027951. The next prime is 13027979. The reversal of 13027960 is 6972031.

13027960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13027960 is a nontrivial binomial coefficient, being equal to C(5105, 2).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12250 + ... + 13270.

Almost surely, 2^13027960 is an apocalyptic number.

13027960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13027960 is the 5104-th triangular number.

13027960 is the 1702-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13027960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556400).

13027960 is an abundant number, since it is smaller than the sum of its proper divisors (20084840).

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

13027960 is a wasteful number, since it uses less digits than its factorization.

13027960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 13027960 is about 3609.4265472510. The cubic root of 13027960 is about 235.3019206726.

Adding to 13027960 its reverse (6972031), we get a palindrome (19999991).

The spelling of 13027960 in words is "thirteen million, twenty-seven thousand, nine hundred sixty".