13663680 has 112 divisors (see below), whose sum is σ = 44525184. Its totient is φ = 3548160.

The previous prime is 13663673. The next prime is 13663681. The reversal of 13663680 is 8636631.

It is a super-2 number, since 2×13663680² = 373392302284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13663681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41115 + ... + 41445.

Almost surely, 2^13663680 is an apocalyptic number.

13663680 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 13663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22262592).

13663680 is an abundant number, since it is smaller than the sum of its proper divisors (30861504).

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

13663680 is a wasteful number, since it uses less digits than its factorization.

13663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 13663680 is about 3696.4415320684. The cubic root of 13663680 is about 239.0686123859.

The spelling of 13663680 in words is "thirteen million, six hundred sixty-three thousand, six hundred eighty".