13408640 has 128 divisors (see below), whose sum is σ = 38041920. Its totient is φ = 4423680.

The previous prime is 13408639. The next prime is 13408669. The reversal of 13408640 is 4680431.

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

It is a nialpdrome in base 16.

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, 183644 + ... + 183716.

Almost surely, 2^13408640 is an apocalyptic number.

13408640 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 13408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19020960).

13408640 is an abundant number, since it is smaller than the sum of its proper divisors (24633280).

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

13408640 is an equidigital number, since it uses as much as digits as its factorization.

13408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 13408640 is about 3661.7809874431. The cubic root of 13408640 is about 237.5718120792.

The spelling of 13408640 in words is "thirteen million, four hundred eight thousand, six hundred forty".