13224864 has 48 divisors (see below), whose sum is σ = 34903008. Its totient is φ = 4384512.

The previous prime is 13224863. The next prime is 13224881. The reversal of 13224864 is 46842231.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (13224863) 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, 33114 + ... + 33510.

It is an arithmetic number, because the mean of its divisors is an integer number (727146).

Almost surely, 2^13224864 is an apocalyptic number.

It is an amenable number.

13224864 is an abundant number, since it is smaller than the sum of its proper divisors (21678144).

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

13224864 is a wasteful number, since it uses less digits than its factorization.

13224864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 749 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 13224864 is about 3636.6006104603. The cubic root of 13224864 is about 236.4814455927.

The spelling of 13224864 in words is "thirteen million, two hundred twenty-four thousand, eight hundred sixty-four".