13260624 has 80 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 4013568.

The previous prime is 13260619. The next prime is 13260647. The reversal of 13260624 is 42606231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13260594 and 13260603.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49162 + ... + 49430.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^13260624 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 13260624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13260624 is an abundant number, since it is smaller than the sum of its proper divisors (24236976).

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

13260624 is a wasteful number, since it uses less digits than its factorization.

13260624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 13260624 is about 3641.5139708643. The cubic root of 13260624 is about 236.6944021805.

Adding to 13260624 its reverse (42606231), we get a palindrome (55866855).

The spelling of 13260624 in words is "thirteen million, two hundred sixty thousand, six hundred twenty-four".