13748064 has 96 divisors (see below), whose sum is σ = 40352256. Its totient is φ = 4062720.

The previous prime is 13748051. The next prime is 13748069. The reversal of 13748064 is 46084731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13748069) 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, 49494 + ... + 49770.

It is an arithmetic number, because the mean of its divisors is an integer number (420336).

Almost surely, 2^13748064 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 13748064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20176128).

13748064 is an abundant number, since it is smaller than the sum of its proper divisors (26604192).

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

13748064 is a wasteful number, since it uses less digits than its factorization.

13748064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 13748064 is about 3707.8381841715. The cubic root of 13748064 is about 239.5597484601.

The spelling of 13748064 in words is "thirteen million, seven hundred forty-eight thousand, sixty-four".