13683340 has 72 divisors (see below), whose sum is σ = 32998896. Its totient is φ = 4723200.

The previous prime is 13683311. The next prime is 13683347. The reversal of 13683340 is 4338631.

13683340 = T₄₄₀ + T₄₄₁ + ... + T₅₅₀.

It is a junction number, because it is equal to n+sod(n) for n = 13683299 and 13683308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13683347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333720 + ... + 333760.

It is an arithmetic number, because the mean of its divisors is an integer number (458318).

Almost surely, 2^13683340 is an apocalyptic number.

13683340 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 13683340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499448).

13683340 is an abundant number, since it is smaller than the sum of its proper divisors (19315556).

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

13683340 is a wasteful number, since it uses less digits than its factorization.

13683340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 13683340 is about 3699.0998905139. The cubic root of 13683340 is about 239.1832188091.

The spelling of 13683340 in words is "thirteen million, six hundred eighty-three thousand, three hundred forty".