13684960 has 24 divisors (see below), whose sum is σ = 32331096. Its totient is φ = 5473920.

The previous prime is 13684877. The next prime is 13684961. The reversal of 13684960 is 6948631.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13684961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42606 + ... + 42925.

It is an arithmetic number, because the mean of its divisors is an integer number (1347129).

Almost surely, 2^13684960 is an apocalyptic number.

13684960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13684960 is an abundant number, since it is smaller than the sum of its proper divisors (18646136).

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

13684960 is an equidigital number, since it uses as much as digits as its factorization.

13684960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85546 (or 85538 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 13684960 is about 3699.3188562220. The cubic root of 13684960 is about 239.1926575749.

It can be divided in two parts, 1368 and 4960, that added together give a triangular number (6328 = T₁₁₂).

The spelling of 13684960 in words is "thirteen million, six hundred eighty-four thousand, nine hundred sixty".