13563880 has 64 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 4757760.

The previous prime is 13563857. The next prime is 13563887. The reversal of 13563880 is 8836531.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13563887) 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, 12229 + ... + 13291.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 2^13563880 is an apocalyptic number.

13563880 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 13563880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

13563880 is an abundant number, since it is smaller than the sum of its proper divisors (20909720).

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

13563880 is a wasteful number, since it uses less digits than its factorization.

13563880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1110 counting only the distinct ones).

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

The square root of 13563880 is about 3682.9173219066. The cubic root of 13563880 is about 238.4851343016.

The spelling of 13563880 in words is "thirteen million, five hundred sixty-three thousand, eight hundred eighty".