1006133880 has 32 divisors (see below), whose sum is σ = 3018402000. Its totient is φ = 268302336.

The previous prime is 1006133867. The next prime is 1006133881. The reversal of 1006133880 is 883316001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006133881) 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 7 ways as a sum of consecutive naturals, for example, 4192105 + ... + 4192344.

Almost surely, 2^1006133880 is an apocalyptic number.

1006133880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006133880 is an abundant number, since it is smaller than the sum of its proper divisors (2012268120).

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

1006133880 is a wasteful number, since it uses less digits than its factorization.

1006133880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384463 (or 8384459 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1006133880 is about 31719.6134907095. The cubic root of 1006133880 is about 1002.0404603564.

Adding to 1006133880 its reverse (883316001), we get a palindrome (1889449881).

The spelling of 1006133880 in words is "one billion, six million, one hundred thirty-three thousand, eight hundred eighty".