13563616 has 72 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 5913600.

The previous prime is 13563581. The next prime is 13563617. The reversal of 13563616 is 61636531.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13563617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119976 + ... + 120088.

It is an arithmetic number, because the mean of its divisors is an integer number (424536).

Almost surely, 2^13563616 is an apocalyptic number.

13563616 is a gapful number since it is divisible by the number (16) 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 13563616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

13563616 is an abundant number, since it is smaller than the sum of its proper divisors (17002976).

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

13563616 is a wasteful number, since it uses less digits than its factorization.

13563616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its digits is 9720, while the sum is 31.

The square root of 13563616 is about 3682.8814805801. The cubic root of 13563616 is about 238.4835870432.

The spelling of 13563616 in words is "thirteen million, five hundred sixty-three thousand, six hundred sixteen".