13600640 has 64 divisors (see below), whose sum is σ = 33048000. Its totient is φ = 5351424.

The previous prime is 13600633. The next prime is 13600651. The reversal of 13600640 is 4600631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

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 7 ways as a sum of consecutive naturals, for example, 50426 + ... + 50694.

It is an arithmetic number, because the mean of its divisors is an integer number (516375).

Almost surely, 2^13600640 is an apocalyptic number.

13600640 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 13600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524000).

13600640 is an abundant number, since it is smaller than the sum of its proper divisors (19447360).

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

13600640 is an equidigital number, since it uses as much as digits as its factorization.

13600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 13600640 is about 3687.9045540795. The cubic root of 13600640 is about 238.7003825877.

Subtracting from 13600640 its reverse (4600631), we obtain a palindrome (9000009).

The spelling of 13600640 in words is "thirteen million, six hundred thousand, six hundred forty".