13689940 has 36 divisors (see below), whose sum is σ = 31605588. Its totient is φ = 4977280.

The previous prime is 13689931. The next prime is 13689959. The reversal of 13689940 is 4998631.

It can be written as a sum of positive squares in 2 ways, for example, as 2944656 + 10745284 = 1716^2 + 3278^2 .

It is a super-5 number, since 5×13689940⁵ (a number of 37 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13689893 and 13689902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409 + ... + 5248.

It is an arithmetic number, because the mean of its divisors is an integer number (877933).

Almost surely, 2^13689940 is an apocalyptic number.

13689940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13689940 is an abundant number, since it is smaller than the sum of its proper divisors (17915648).

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

13689940 is a wasteful number, since it uses less digits than its factorization.

13689940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 13689940 is about 3699.9918918830. The cubic root of 13689940 is about 239.2216683763.

The spelling of 13689940 in words is "thirteen million, six hundred eighty-nine thousand, nine hundred forty".