13305824 has 48 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 5654400.

The previous prime is 13305821. The next prime is 13305827. The reversal of 13305824 is 42850331.

It is an interprime number because it is at equal distance from previous prime (13305821) and next prime (13305827).

It is a junction number, because it is equal to n+sod(n) for n = 13305793 and 13305802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305821) 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, 42629 + ... + 42939.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 2^13305824 is an apocalyptic number.

13305824 is a gapful number since it is divisible by the number (14) 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 13305824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

13305824 is an abundant number, since it is smaller than the sum of its proper divisors (16885792).

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

13305824 is a wasteful number, since it uses less digits than its factorization.

13305824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

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

The square root of 13305824 is about 3647.7149011402. The cubic root of 13305824 is about 236.9630284094.

The spelling of 13305824 in words is "thirteen million, three hundred five thousand, eight hundred twenty-four".