13728660 has 144 divisors (see below), whose sum is σ = 44330496. Its totient is φ = 3168000.

The previous prime is 13728647. The next prime is 13728661. The reversal of 13728660 is 6682731.

13728660 = T₃₄₁ + T₃₄₂ + ... + T₄₉₅.

It is a super-2 number, since 2×13728660² = 376952210791200, which contains 22 as substring.

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 (13728661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225030 + ... + 225090.

Almost surely, 2^13728660 is an apocalyptic number.

13728660 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 13728660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165248).

13728660 is an abundant number, since it is smaller than the sum of its proper divisors (30601836).

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

13728660 is a wasteful number, since it uses less digits than its factorization.

13728660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 13728660 is about 3705.2206412034. The cubic root of 13728660 is about 239.4469906202.

The spelling of 13728660 in words is "thirteen million, seven hundred twenty-eight thousand, six hundred sixty".