1006947808 has 96 divisors (see below), whose sum is σ = 2159589600. Its totient is φ = 460406784.

The previous prime is 1006947793. The next prime is 1006947827. The reversal of 1006947808 is 8087496001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4397038 + ... + 4397266.

It is an arithmetic number, because the mean of its divisors is an integer number (22495725).

Almost surely, 2^1006947808 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 1006947808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079794800).

1006947808 is an abundant number, since it is smaller than the sum of its proper divisors (1152641792).

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

1006947808 is a wasteful number, since it uses less digits than its factorization.

1006947808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 1006947808 is about 31732.4409398332. The cubic root of 1006947808 is about 1002.3105930478.

The spelling of 1006947808 in words is "one billion, six million, nine hundred forty-seven thousand, eight hundred eight".