13568640 has 128 divisors (see below), whose sum is σ = 44651520. Its totient is φ = 3502080.

The previous prime is 13568627. The next prime is 13568707. The reversal of 13568640 is 4686531.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70945 + ... + 71135.

It is an arithmetic number, because the mean of its divisors is an integer number (348840).

Almost surely, 2^13568640 is an apocalyptic number.

13568640 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 13568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325760).

13568640 is an abundant number, since it is smaller than the sum of its proper divisors (31082880).

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

13568640 is a wasteful number, since it uses less digits than its factorization.

13568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 13568640 is about 3683.5634920549. The cubic root of 13568640 is about 238.5130283967.

The spelling of 13568640 in words is "thirteen million, five hundred sixty-eight thousand, six hundred forty".