13728640 has 64 divisors (see below), whose sum is σ = 34578000. Its totient is φ = 5197824.

The previous prime is 13728607. The next prime is 13728647. The reversal of 13728640 is 4682731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728647) 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 7 ways as a sum of consecutive naturals, for example, 11596 + ... + 12724.

Almost surely, 2^13728640 is an apocalyptic number.

13728640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17289000).

13728640 is an abundant number, since it is smaller than the sum of its proper divisors (20849360).

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

13728640 is a wasteful number, since it uses less digits than its factorization.

13728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 13728640 is about 3705.2179423078. The cubic root of 13728640 is about 239.4468743442.

The spelling of 13728640 in words is "thirteen million, seven hundred twenty-eight thousand, six hundred forty".