13283568 has 80 divisors (see below), whose sum is σ = 38643360. Its totient is φ = 4368384.

The previous prime is 13283561. The next prime is 13283587. The reversal of 13283568 is 86538231.

13283568 is a `hidden beast` number, since 13 + 2 + 83 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13283561) 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 15 ways as a sum of consecutive naturals, for example, 41746 + ... + 42062.

It is an arithmetic number, because the mean of its divisors is an integer number (483042).

Almost surely, 2^13283568 is an apocalyptic number.

13283568 is a gapful number since it is divisible by the number (18) 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 13283568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19321680).

13283568 is an abundant number, since it is smaller than the sum of its proper divisors (25359792).

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

13283568 is a wasteful number, since it uses less digits than its factorization.

13283568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13283568 is about 3644.6629473794. The cubic root of 13283568 is about 236.8308358614.

The spelling of 13283568 in words is "thirteen million, two hundred eighty-three thousand, five hundred sixty-eight".