8408268 has 72 divisors (see below), whose sum is σ = 24570000. Its totient is φ = 2396160.

The previous prime is 8408261. The next prime is 8408273. The reversal of 8408268 is 8628048.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (8408261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6108 + ... + 7356.

It is an arithmetic number, because the mean of its divisors is an integer number (341250).

Almost surely, 2^8408268 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 8408268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285000).

8408268 is an abundant number, since it is smaller than the sum of its proper divisors (16161732).

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

8408268 is a wasteful number, since it uses less digits than its factorization.

8408268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8408268 is about 2899.7013639339. The cubic root of 8408268 is about 203.3459444536.

The spelling of 8408268 in words is "eight million, four hundred eight thousand, two hundred sixty-eight".