13568000 has 96 divisors (see below), whose sum is σ = 34496280. Its totient is φ = 5324800.

The previous prime is 13567979. The next prime is 13568039. The reversal of 13568000 is 86531.

It can be written as a sum of positive squares in 4 ways, for example, as 5456896 + 8111104 = 2336^2 + 2848^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255974 + ... + 256026.

Almost surely, 2^13568000 is an apocalyptic number.

13568000 is a gapful number since it is divisible by the number (10) 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 13568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248140).

13568000 is an abundant number, since it is smaller than the sum of its proper divisors (20928280).

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

13568000 is an frugal number, since it uses more digits than its factorization.

13568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 13568000 is about 3683.4766186308. The cubic root of 13568000 is about 238.5092783097.

The spelling of 13568000 in words is "thirteen million, five hundred sixty-eight thousand".