13040 has 20 divisors (see below), whose sum is σ = 30504. Its totient is φ = 5184.

The previous prime is 13037. The next prime is 13043. The reversal of 13040 is 4031.

13040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13037) and next prime (13043).

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13043) 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 3 ways as a sum of consecutive naturals, for example, 2 + ... + 161.

2¹³⁰⁴⁰ is an apocalyptic number.

13040 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 13040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252).

13040 is an abundant number, since it is smaller than the sum of its proper divisors (17464).

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

13040 is a wasteful number, since it uses less digits than its factorization.

13040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 13040 is about 114.1928193890. The cubic root of 13040 is about 23.5374384380.

Adding to 13040 its reverse (4031), we get a palindrome (17071).

Subtracting from 13040 its reverse (4031), we obtain a palindrome (9009).

The spelling of 13040 in words is "thirteen thousand, forty".