13683672 has 24 divisors (see below), whose sum is σ = 37060140. Its totient is φ = 4561200.

The previous prime is 13683613. The next prime is 13683727. The reversal of 13683672 is 27638631.

It is a happy number.

13683672 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 (24).

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 5 ways as a sum of consecutive naturals, for example, 94954 + ... + 95097.

Almost surely, 2^13683672 is an apocalyptic number.

13683672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13683672 is an abundant number, since it is smaller than the sum of its proper divisors (23376468).

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

13683672 is a wasteful number, since it uses less digits than its factorization.

13683672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190063 (or 190056 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13683672 is about 3699.1447660236. The cubic root of 13683672 is about 239.1851532341.

The spelling of 13683672 in words is "thirteen million, six hundred eighty-three thousand, six hundred seventy-two".