13684560 has 80 divisors (see below), whose sum is σ = 44669760. Its totient is φ = 3456000.

The previous prime is 13684537. The next prime is 13684571. The reversal of 13684560 is 6548631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3060 + ... + 6060.

It is an arithmetic number, because the mean of its divisors is an integer number (558372).

Almost surely, 2^13684560 is an apocalyptic number.

13684560 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 13684560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22334880).

13684560 is an abundant number, since it is smaller than the sum of its proper divisors (30985200).

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

13684560 is a wasteful number, since it uses less digits than its factorization.

13684560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 13684560 is about 3699.2647918201. The cubic root of 13684560 is about 239.1903270847.

The spelling of 13684560 in words is "thirteen million, six hundred eighty-four thousand, five hundred sixty".