1006808670 has 384 divisors, whose sum is σ = 3440102400. Its totient is φ = 204602112.

The previous prime is 1006808659. The next prime is 1006808701. The reversal of 1006808670 is 768086001.

1006808670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18996364 + ... + 18996416.

It is an arithmetic number, because the mean of its divisors is an integer number (8958600).

Almost surely, 2^1006808670 is an apocalyptic number.

1006808670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006808670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720051200).

1006808670 is an abundant number, since it is smaller than the sum of its proper divisors (2433293730).

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

1006808670 is a wasteful number, since it uses less digits than its factorization.

1006808670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1006808670 is about 31730.2485020209. The cubic root of 1006808670 is about 1002.2644251749.

The spelling of 1006808670 in words is "one billion, six million, eight hundred eight thousand, six hundred seventy".