8408008 has 48 divisors (see below), whose sum is σ = 18621900. Its totient is φ = 3548160.

The previous prime is 8408003. The next prime is 8408009. The reversal of 8408008 is 8008048.

It is a happy number.

8408008 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8398404 + 9604 = 2898^2 + 98^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8408003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34768 + ... + 35008.

Almost surely, 2^8408008 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 8408008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9310950).

8408008 is an abundant number, since it is smaller than the sum of its proper divisors (10213892).

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

8408008 is a wasteful number, since it uses less digits than its factorization.

8408008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 8408008 is about 2899.6565313844. The cubic root of 8408008 is about 203.3438484813.

The spelling of 8408008 in words is "eight million, four hundred eight thousand, eight".