13744640 has 160 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 4276224.

The previous prime is 13744631. The next prime is 13744663. The reversal of 13744640 is 4644731.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 232931 + ... + 232989.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^13744640 is an apocalyptic number.

13744640 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 13744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

13744640 is an abundant number, since it is smaller than the sum of its proper divisors (27502720).

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

13744640 is an equidigital number, since it uses as much as digits as its factorization.

13744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 13744640 is about 3707.3764308470. The cubic root of 13744640 is about 239.5398590977.

Subtracting from 13744640 its reverse (4644731), we obtain a palindrome (9099909).

The spelling of 13744640 in words is "thirteen million, seven hundred forty-four thousand, six hundred forty".