1288608006 has 64 divisors (see below), whose sum is σ = 3105907200. Its totient is φ = 348178176.

The previous prime is 1288608001. The next prime is 1288608019. The reversal of 1288608006 is 6008068821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288608001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615810 + ... + 617898.

It is an arithmetic number, because the mean of its divisors is an integer number (48529800).

Almost surely, 2^1288608006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288608006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552953600).

1288608006 is an abundant number, since it is smaller than the sum of its proper divisors (1817299194).

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

1288608006 is a wasteful number, since it uses less digits than its factorization.

1288608006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893.

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 1288608006 is about 35897.1866028523. The cubic root of 1288608006 is about 1088.1955403618.

The spelling of 1288608006 in words is "one billion, two hundred eighty-eight million, six hundred eight thousand, six".