13213824 has 64 divisors (see below), whose sum is σ = 37813440. Its totient is φ = 4064256.

The previous prime is 13213769. The next prime is 13213829. The reversal of 13213824 is 42831231.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13213794 and 13213803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213829) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3669 + ... + 6315.

It is an arithmetic number, because the mean of its divisors is an integer number (590835).

Almost surely, 2^13213824 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 13213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18906720).

13213824 is an abundant number, since it is smaller than the sum of its proper divisors (24599616).

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

13213824 is a wasteful number, since it uses less digits than its factorization.

13213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2665 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 13213824 is about 3635.0823924638. The cubic root of 13213824 is about 236.4156230638.

The spelling of 13213824 in words is "thirteen million, two hundred thirteen thousand, eight hundred twenty-four".