13004040 has 128 divisors (see below), whose sum is σ = 45308160. Its totient is φ = 2924544.

The previous prime is 13003987. The next prime is 13004051. The reversal of 13004040 is 4040031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94852 + ... + 94988.

It is an arithmetic number, because the mean of its divisors is an integer number (353970).

Almost surely, 2^13004040 is an apocalyptic number.

13004040 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 13004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22654080).

13004040 is an abundant number, since it is smaller than the sum of its proper divisors (32304120).

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

13004040 is a wasteful number, since it uses less digits than its factorization.

13004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13004040 is about 3606.1114791420. Note that the first 3 decimals coincide. The cubic root of 13004040 is about 235.1578236651.

Adding to 13004040 its reverse (4040031), we get a palindrome (17044071).

The spelling of 13004040 in words is "thirteen million, four thousand, forty".