13563760 has 80 divisors (see below), whose sum is σ = 36801216. Its totient is φ = 4552704.

The previous prime is 13563751. The next prime is 13563779. The reversal of 13563760 is 6736531.

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

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, 29452 + ... + 29908.

It is a vampire number, since it can be written as 3656 ⋅ 3710 (with its own digits).

Almost surely, 2^13563760 is an apocalyptic number.

13563760 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 13563760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400608).

13563760 is an abundant number, since it is smaller than the sum of its proper divisors (23237456).

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

13563760 is a wasteful number, since it uses less digits than its factorization.

13563760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 13563760 is about 3682.9010304378. The cubic root of 13563760 is about 238.4844310048.

The spelling of 13563760 in words is "thirteen million, five hundred sixty-three thousand, seven hundred sixty".