13364448 has 96 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 3962880.

The previous prime is 13364399. The next prime is 13364453. The reversal of 13364448 is 84446331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30793 + ... + 31223.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 2^13364448 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 13364448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

13364448 is an abundant number, since it is smaller than the sum of its proper divisors (25826592).

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

13364448 is a wasteful number, since it uses less digits than its factorization.

13364448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 13364448 is about 3655.7417851922. The cubic root of 13364448 is about 237.3105295881.

The spelling of 13364448 in words is "thirteen million, three hundred sixty-four thousand, four hundred forty-eight".