13045824 has 168 divisors, whose sum is σ = 42793920. Its totient is φ = 3763200.

The previous prime is 13045811. The next prime is 13045841. The reversal of 13045824 is 42854031.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 183709 + ... + 183779.

Almost surely, 2^13045824 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 13045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960).

13045824 is an abundant number, since it is smaller than the sum of its proper divisors (29748096).

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

13045824 is a wasteful number, since it uses less digits than its factorization.

13045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 13045824 is about 3611.9003308508. The cubic root of 13045824 is about 235.4094205860.

Adding to 13045824 its reverse (42854031), we get a palindrome (55899855).

It can be divided in two parts, 130 and 45824, that added together give a palindrome (45954).

The spelling of 13045824 in words is "thirteen million, forty-five thousand, eight hundred twenty-four".