13680753 has 16 divisors (see below), whose sum is σ = 18601536. Its totient is φ = 8942400.

The previous prime is 13680749. The next prime is 13680761. The reversal of 13680753 is 35708631.

It is a happy number.

13680753 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13680753 - 2² = 13680749 is a prime.

It is a super-3 number, since 3×13680753³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13680773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49251 + ... + 49527.

It is an arithmetic number, because the mean of its divisors is an integer number (1162596).

Almost surely, 2^13680753 is an apocalyptic number.

It is an amenable number.

13680753 is a deficient number, since it is larger than the sum of its proper divisors (4920783).

13680753 is a wasteful number, since it uses less digits than its factorization.

13680753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 13680753 is about 3698.7501943224. The cubic root of 13680753 is about 239.1681443710.

The spelling of 13680753 in words is "thirteen million, six hundred eighty thousand, seven hundred fifty-three".