13006824 has 16 divisors (see below), whose sum is σ = 32517120. Its totient is φ = 4335600.

The previous prime is 13006817. The next prime is 13006831. The reversal of 13006824 is 42860031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13006817) and next prime (13006831).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 541951 = 13006824 / (1 + 3 + 0 + 0 + 6 + 8 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 13006794 and 13006803.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270952 + ... + 270999.

It is an arithmetic number, because the mean of its divisors is an integer number (2032320).

Almost surely, 2^13006824 is an apocalyptic number.

It is an amenable number.

13006824 is an abundant number, since it is smaller than the sum of its proper divisors (19510296).

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

13006824 is a wasteful number, since it uses less digits than its factorization.

13006824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541960 (or 541956 counting only the distinct ones).

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

The square root of 13006824 is about 3606.4974698452. The cubic root of 13006824 is about 235.1746039033.

Adding to 13006824 its reverse (42860031), we get a palindrome (55866855).

The spelling of 13006824 in words is "thirteen million, six thousand, eight hundred twenty-four".