13408000 has 72 divisors (see below), whose sum is σ = 33480720. Its totient is φ = 5350400.

The previous prime is 13407991. The next prime is 13408007. The reversal of 13408000 is 80431.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13408007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31791 + ... + 32209.

It is an arithmetic number, because the mean of its divisors is an integer number (465010).

Almost surely, 2^13408000 is an apocalyptic number.

13408000 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 13408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740360).

13408000 is an abundant number, since it is smaller than the sum of its proper divisors (20072720).

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

13408000 is an frugal number, since it uses more digits than its factorization.

13408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 13408000 is about 3661.6935972307. The cubic root of 13408000 is about 237.5680322184.

Adding to 13408000 its reverse (80431), we get a palindrome (13488431).

The spelling of 13408000 in words is "thirteen million, four hundred eight thousand".