13676064 has 48 divisors (see below), whose sum is σ = 36745632. Its totient is φ = 4451328.

The previous prime is 13676063. The next prime is 13676087. The reversal of 13676064 is 46067631.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13676063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2472 + ... + 5784.

It is an arithmetic number, because the mean of its divisors is an integer number (765534).

Almost surely, 2^13676064 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 13676064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18372816).

13676064 is an abundant number, since it is smaller than the sum of its proper divisors (23069568).

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

13676064 is a wasteful number, since it uses less digits than its factorization.

13676064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 13676064 is about 3698.1162772417. The cubic root of 13676064 is about 239.1408167432.

The spelling of 13676064 in words is "thirteen million, six hundred seventy-six thousand, sixty-four".