13563648 has 162 divisors, whose sum is σ = 46288424. Its totient is φ = 3741696.

The previous prime is 13563623. The next prime is 13563653. The reversal of 13563648 is 84636531.

13563648 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 3 + 648 = 666.

13563648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 467698 + ... + 467726.

Almost surely, 2^13563648 is an apocalyptic number.

13563648 is a gapful number since it is divisible by the number (18) 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 13563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23144212).

13563648 is an abundant number, since it is smaller than the sum of its proper divisors (32724776).

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

13563648 is an equidigital number, since it uses as much as digits as its factorization.

13563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 13563648 is about 3682.8858250019. The cubic root of 13563648 is about 238.4837745907.

The spelling of 13563648 in words is "thirteen million, five hundred sixty-three thousand, six hundred forty-eight".