13460 has 12 divisors (see below), whose sum is σ = 28308. Its totient is φ = 5376.

The previous prime is 13457. The next prime is 13463. The reversal of 13460 is 6431.

It is an interprime number because it is at equal distance from previous prime (13457) and next prime (13463).

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 8836 = 68^2 + 94^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13463) 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, 317 + ... + 356.

It is an arithmetic number, because the mean of its divisors is an integer number (2359).

2¹³⁴⁶⁰ is an apocalyptic number.

13460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13460 is an abundant number, since it is smaller than the sum of its proper divisors (14848).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154).

13460 is a wasteful number, since it uses less digits than its factorization.

13460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13460 is about 116.0172400982. The cubic root of 13460 is about 23.7874754619.

Adding to 13460 its reverse (6431), we get a palindrome (19891).

The spelling of 13460 in words is "thirteen thousand, four hundred sixty".