13243824 has 100 divisors (see below), whose sum is σ = 41861160. Its totient is φ = 4008960.

The previous prime is 13243819. The next prime is 13243847. The reversal of 13243824 is 42834231.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13792 + ... + 14720.

Almost surely, 2^13243824 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 13243824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930580).

13243824 is an abundant number, since it is smaller than the sum of its proper divisors (28617336).

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

13243824 is a wasteful number, since it uses less digits than its factorization.

13243824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 945 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 13243824 is about 3639.2065069188. The cubic root of 13243824 is about 236.5944032058.

It can be divided in two parts, 132 and 43824, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 13243824 in words is "thirteen million, two hundred forty-three thousand, eight hundred twenty-four".