13683648 has 168 divisors, whose sum is σ = 43240960. Its totient is φ = 3801600.

The previous prime is 13683613. The next prime is 13683727. The reversal of 13683648 is 84638631.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441393 + ... + 441423.

Almost surely, 2^13683648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21620480).

13683648 is an abundant number, since it is smaller than the sum of its proper divisors (29557312).

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

13683648 is a wasteful number, since it uses less digits than its factorization.

13683648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 66 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 13683648 is about 3699.1415220291. The cubic root of 13683648 is about 239.1850133972.

The spelling of 13683648 in words is "thirteen million, six hundred eighty-three thousand, six hundred forty-eight".