13676364 has 120 divisors (see below), whose sum is σ = 40981248. Its totient is φ = 3939840.

The previous prime is 13676353. The next prime is 13676393. The reversal of 13676364 is 46367631.

It is a happy number.

13676364 is a `hidden beast` number, since 13 + 6 + 7 + 636 + 4 = 666.

13676364 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 39 ways as a sum of consecutive naturals, for example, 71509 + ... + 71699.

Almost surely, 2^13676364 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 13676364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490624).

13676364 is an abundant number, since it is smaller than the sum of its proper divisors (27304884).

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

13676364 is a wasteful number, since it uses less digits than its factorization.

13676364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 13676364 is about 3698.1568382101. The cubic root of 13676364 is about 239.1425653389.

The spelling of 13676364 in words is "thirteen million, six hundred seventy-six thousand, three hundred sixty-four".