13683564 has 36 divisors (see below), whose sum is σ = 34834800. Its totient is φ = 4528800.

The previous prime is 13683559. The next prime is 13683583. The reversal of 13683564 is 46538631.

13683564 is a `hidden beast` number, since 13 + 6 + 83 + 564 = 666.

13683564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

13683564 is a modest number, since divided by 3564 gives 1368 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4089 + ... + 6639.

Almost surely, 2^13683564 is an apocalyptic number.

It is an amenable number.

13683564 is an abundant number, since it is smaller than the sum of its proper divisors (21151236).

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

13683564 is a wasteful number, since it uses less digits than its factorization.

13683564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2705 counting only the distinct ones).

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

The square root of 13683564 is about 3699.1301680260. The cubic root of 13683564 is about 239.1845239668.

The spelling of 13683564 in words is "thirteen million, six hundred eighty-three thousand, five hundred sixty-four".