13284576 has 72 divisors (see below), whose sum is σ = 38132640. Its totient is φ = 4386816.

The previous prime is 13284541. The next prime is 13284577. The reversal of 13284576 is 67548231.

13284576 is a `hidden beast` number, since 1 + 3 + 2 + 84 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×13284576³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime factors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 13284576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13284577) 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 11 ways as a sum of consecutive naturals, for example, 55465 + ... + 55703.

It is an arithmetic number, because the mean of its divisors is an integer number (529620).

Almost surely, 2^13284576 is an apocalyptic number.

13284576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13284576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19066320).

13284576 is an abundant number, since it is smaller than the sum of its proper divisors (24848064).

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

13284576 is a wasteful number, since it uses less digits than its factorization.

13284576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13284576 is about 3644.8012291482. The cubic root of 13284576 is about 236.8368262059.

The spelling of 13284576 in words is "thirteen million, two hundred eighty-four thousand, five hundred seventy-six".