13580448 has 72 divisors (see below), whose sum is σ = 41483232. Its totient is φ = 3878784.

The previous prime is 13580429. The next prime is 13580507. The reversal of 13580448 is 84408531.

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 11 ways as a sum of consecutive naturals, for example, 3261 + ... + 6147.

It is an arithmetic number, because the mean of its divisors is an integer number (576156).

Almost surely, 2^13580448 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 13580448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20741616).

13580448 is an abundant number, since it is smaller than the sum of its proper divisors (27902784).

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

13580448 is a wasteful number, since it uses less digits than its factorization.

13580448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 13580448 is about 3685.1659392760. The cubic root of 13580448 is about 238.5821963521.

Adding to 13580448 its reverse (84408531), we get a palindrome (97988979).

It can be divided in two parts, 13580 and 448, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 13580448 in words is "thirteen million, five hundred eighty thousand, four hundred forty-eight".