13035824 has 40 divisors (see below), whose sum is σ = 26865840. Its totient is φ = 6110208.

The previous prime is 13035823. The next prime is 13035833. The reversal of 13035824 is 42853031.

It is a junction number, because it is equal to n+sod(n) for n = 13035793 and 13035802.

It is not an unprimeable number, because it can be changed into a prime (13035823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41492 + ... + 41804.

It is an arithmetic number, because the mean of its divisors is an integer number (671646).

Almost surely, 2^13035824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13035824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13432920).

13035824 is an abundant number, since it is smaller than the sum of its proper divisors (13830016).

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

13035824 is a wasteful number, since it uses less digits than its factorization.

13035824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 13035824 is about 3610.5157526315. The cubic root of 13035824 is about 235.3492558428.

Adding to 13035824 its reverse (42853031), we get a palindrome (55888855).

The spelling of 13035824 in words is "thirteen million, thirty-five thousand, eight hundred twenty-four".