13305424 has 40 divisors (see below), whose sum is σ = 29783808. Its totient is φ = 5690880.

The previous prime is 13305421. The next prime is 13305427. The reversal of 13305424 is 42450331.

It is an interprime number because it is at equal distance from previous prime (13305421) and next prime (13305427).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13305395 and 13305404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 769 + ... + 5215.

Almost surely, 2^13305424 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 13305424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14891904).

13305424 is an abundant number, since it is smaller than the sum of its proper divisors (16478384).

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

13305424 is a wasteful number, since it uses less digits than its factorization.

13305424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 13305424 is about 3647.6600718817. The cubic root of 13305424 is about 236.9606538562.

Adding to 13305424 its reverse (42450331), we get a palindrome (55755755).

The spelling of 13305424 in words is "thirteen million, three hundred five thousand, four hundred twenty-four".