1006133868 has 18 divisors (see below), whose sum is σ = 2543282924. Its totient is φ = 335377944.

The previous prime is 1006133867. The next prime is 1006133881. The reversal of 1006133868 is 8683316001.

1006133868 is a `hidden beast` number, since 1 + 0 + 0 + 613 + 38 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 27948163 = 1006133868 / (1 + 0 + 0 + 6 + 1 + 3 + 3 + 8 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (1006133867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13974046 + ... + 13974117.

Almost surely, 2^1006133868 is an apocalyptic number.

1006133868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1006133868 is an abundant number, since it is smaller than the sum of its proper divisors (1537149056).

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

1006133868 is a wasteful number, since it uses less digits than its factorization.

1006133868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27948173 (or 27948168 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1006133868 is about 31719.6133015521. The cubic root of 1006133868 is about 1002.0404563727.

Adding to 1006133868 its reverse (8683316001), we get a palindrome (9689449869).

It can be divided in two parts, 1006133 and 868, that added together give a palindrome (1007001).

The spelling of 1006133868 in words is "one billion, six million, one hundred thirty-three thousand, eight hundred sixty-eight".