13281408 has 192 divisors, whose sum is σ = 46038720. Its totient is φ = 3732480.

The previous prime is 13281377. The next prime is 13281427. The reversal of 13281408 is 80418231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217698 + ... + 217758.

It is an arithmetic number, because the mean of its divisors is an integer number (239785).

Almost surely, 2^13281408 is an apocalyptic number.

13281408 is a gapful number since it is divisible by the number (18) 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 13281408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23019360).

13281408 is an abundant number, since it is smaller than the sum of its proper divisors (32757312).

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

13281408 is an frugal number, since it uses more digits than its factorization.

13281408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13281408 is about 3644.3666116350. The cubic root of 13281408 is about 236.8179983885.

Adding to 13281408 its reverse (80418231), we get a palindrome (93699639).

It can be divided in two parts, 13281 and 408, that added together give a square (13689 = 117²).

The spelling of 13281408 in words is "thirteen million, two hundred eighty-one thousand, four hundred eight".