8006667408 has 60 divisors (see below), whose sum is σ = 22425610428. Its totient is φ = 2666737920.

The previous prime is 8006667407. The next prime is 8006667439. The reversal of 8006667408 is 8047666008.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2850278544 + 5156388864 = 53388^2 + 71808^2 .

It is not an unprimeable number, because it can be changed into a prime (8006667407) 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, 162118 + ... + 205658.

Almost surely, 2^8006667408 is an apocalyptic number.

It is an amenable number.

8006667408 is an abundant number, since it is smaller than the sum of its proper divisors (14418943020).

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

8006667408 is a wasteful number, since it uses less digits than its factorization.

8006667408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44832 (or 44823 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8006667408 is about 89479.9832811786. The cubic root of 8006667408 is about 2000.5554630495. Note that the first 3 decimals are identical.

The spelling of 8006667408 in words is "eight billion, six million, six hundred sixty-seven thousand, four hundred eight".