8241408 has 162 divisors, whose sum is σ = 28020174. Its totient is φ = 2322432.

The previous prime is 8241407. The next prime is 8241419. The reversal of 8241408 is 8041428.

It can be written as a sum of positive squares in only one way, i.e., 7225344 + 1016064 = 2688^2 + 1008^2 .

It is not an unprimeable number, because it can be changed into a prime (8241407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112860 + ... + 112932.

Almost surely, 2^8241408 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 8241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14010087).

8241408 is an abundant number, since it is smaller than the sum of its proper divisors (19778766).

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

8241408 is a wasteful number, since it uses less digits than its factorization.

8241408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8241408 is about 2870.7852584267. The cubic root of 8241408 is about 201.9918305359.

It can be divided in two parts, 8241 and 408, that added together give a square (8649 = 93²).

The spelling of 8241408 in words is "eight million, two hundred forty-one thousand, four hundred eight".