13480 has 16 divisors (see below), whose sum is σ = 30420. Its totient is φ = 5376.

The previous prime is 13477. The next prime is 13487. The reversal of 13480 is 8431.

It can be written as a sum of positive squares in 2 ways, for example, as 12996 + 484 = 114^2 + 22^2 .

It is not an unprimeable number, because it can be changed into a prime (13487) 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, 129 + ... + 208.

2¹³⁴⁸⁰ is an apocalyptic number.

13480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13480 is an abundant number, since it is smaller than the sum of its proper divisors (16940).

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 (15210).

13480 is a wasteful number, since it uses less digits than its factorization.

13480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 13480 is about 116.1034021896. The cubic root of 13480 is about 23.7992514417.

It can be divided in two parts, 1 and 3480, that added together give a square (3481 = 59²).

The spelling of 13480 in words is "thirteen thousand, four hundred eighty".