13680340 has 12 divisors (see below), whose sum is σ = 28728756. Its totient is φ = 5472128.

The previous prime is 13680311. The next prime is 13680341. The reversal of 13680340 is 4308631.

It can be written as a sum of positive squares in 2 ways, for example, as 9947716 + 3732624 = 3154^2 + 1932^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680341) 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 3 ways as a sum of consecutive naturals, for example, 341989 + ... + 342028.

It is an arithmetic number, because the mean of its divisors is an integer number (2394063).

Almost surely, 2^13680340 is an apocalyptic number.

13680340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13680340 is an abundant number, since it is smaller than the sum of its proper divisors (15048416).

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

13680340 is a wasteful number, since it uses less digits than its factorization.

13680340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684026 (or 684024 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 13680340 is about 3698.6943642318. The cubic root of 13680340 is about 239.1657376458.

Adding to 13680340 its reverse (4308631), we get a palindrome (17988971).

The spelling of 13680340 in words is "thirteen million, six hundred eighty thousand, three hundred forty".