13714560 has 96 divisors (see below), whose sum is σ = 47377980. Its totient is φ = 3655680.

The previous prime is 13714559. The next prime is 13714567. The reversal of 13714560 is 6541731.

It can be written as a sum of positive squares in 2 ways, for example, as 11128896 + 2585664 = 3336^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13714567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4570 + ... + 6950.

Almost surely, 2^13714560 is an apocalyptic number.

13714560 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 13714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23688990).

13714560 is an abundant number, since it is smaller than the sum of its proper divisors (33663420).

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

13714560 is a wasteful number, since it uses less digits than its factorization.

13714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13714560 is about 3703.3174317090. The cubic root of 13714560 is about 239.3649879807.

The spelling of 13714560 in words is "thirteen million, seven hundred fourteen thousand, five hundred sixty".