13581568 has 144 divisors (see below), whose sum is σ = 37086336. Its totient is φ = 4792320.

The previous prime is 13581559. The next prime is 13581613. The reversal of 13581568 is 86518531.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

Its product of digits (28800) is a multiple of the sum of its prime factors (100).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 256230 + ... + 256282.

It is an arithmetic number, because the mean of its divisors is an integer number (257544).

Almost surely, 2^13581568 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 13581568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543168).

13581568 is an abundant number, since it is smaller than the sum of its proper divisors (23504768).

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

13581568 is a wasteful number, since it uses less digits than its factorization.

13581568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 86 counting only the distinct ones).

The product of its digits is 28800, while the sum is 37.

The square root of 13581568 is about 3685.3178967356. The cubic root of 13581568 is about 238.5887549162.

It can be divided in two parts, 1358 and 1568, that added together give a triangular number (2926 = T₇₆).

The spelling of 13581568 in words is "thirteen million, five hundred eighty-one thousand, five hundred sixty-eight".