12849408 has 216 divisors, whose sum is σ = 44886240. Its totient is φ = 3594240.

The previous prime is 12849401. The next prime is 12849409. The reversal of 12849408 is 80494821.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12849401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988410 + ... + 988422.

Almost surely, 2^12849408 is an apocalyptic number.

12849408 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 12849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22443120).

12849408 is an abundant number, since it is smaller than the sum of its proper divisors (32036832).

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

12849408 is a wasteful number, since it uses less digits than its factorization.

12849408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12849408 is about 3584.6070914397. The cubic root of 12849408 is about 234.2220115184. Note that the first 3 decimals are identical.

The spelling of 12849408 in words is "twelve million, eight hundred forty-nine thousand, four hundred eight".