13216824 has 64 divisors (see below), whose sum is σ = 37593600. Its totient is φ = 4300128.

The previous prime is 13216813. The next prime is 13216831. The reversal of 13216824 is 42861231.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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, 8577 + ... + 9999.

It is an arithmetic number, because the mean of its divisors is an integer number (587400).

Almost surely, 2^13216824 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 13216824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18796800).

13216824 is an abundant number, since it is smaller than the sum of its proper divisors (24376776).

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

13216824 is a wasteful number, since it uses less digits than its factorization.

13216824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1471 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 13216824 is about 3635.4950144375. The cubic root of 13216824 is about 236.4335132472.

The spelling of 13216824 in words is "thirteen million, two hundred sixteen thousand, eight hundred twenty-four".