12801408 has 128 divisors (see below), whose sum is σ = 37674720. Its totient is φ = 3833856.

The previous prime is 12801377. The next prime is 12801413. The reversal of 12801408 is 80410821.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

12801408 is a modest number, since divided by 1408 gives 1280 as remainder.

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, 241510 + ... + 241562.

Almost surely, 2^12801408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837360).

12801408 is an abundant number, since it is smaller than the sum of its proper divisors (24873312).

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

12801408 is a wasteful number, since it uses less digits than its factorization.

12801408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12801408 is about 3577.9055325707. The cubic root of 12801408 is about 233.9299958613.

The spelling of 12801408 in words is "twelve million, eight hundred one thousand, four hundred eight".