13536880 has 80 divisors (see below), whose sum is σ = 37569024. Its totient is φ = 4435200.

The previous prime is 13536871. The next prime is 13536883. The reversal of 13536880 is 8863531.

It is a happy number.

13536880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13536883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12355 + ... + 13405.

Almost surely, 2^13536880 is an apocalyptic number.

13536880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13536880 is the 1840-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13536880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18784512).

13536880 is an abundant number, since it is smaller than the sum of its proper divisors (24032144).

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

13536880 is a wasteful number, since it uses less digits than its factorization.

13536880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 13536880 is about 3679.2499235578. The cubic root of 13536880 is about 238.3267878729.

The spelling of 13536880 in words is "thirteen million, five hundred thirty-six thousand, eight hundred eighty".