1006134444 has 108 divisors (see below), whose sum is σ = 3003024024. Its totient is φ = 283143168.

The previous prime is 1006134421. The next prime is 1006134469. The reversal of 1006134444 is 4444316001.

1006134444 is a `hidden beast` number, since 1 + 0 + 0 + 613 + 4 + 4 + 44 = 666.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 113932 + ... + 122444.

It is an arithmetic number, because the mean of its divisors is an integer number (27805778).

Almost surely, 2^1006134444 is an apocalyptic number.

1006134444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006134444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501512012).

1006134444 is an abundant number, since it is smaller than the sum of its proper divisors (1996889580).

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

1006134444 is a wasteful number, since it uses less digits than its factorization.

1006134444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8604 (or 8592 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1006134444 is about 31719.6223811066. The cubic root of 1006134444 is about 1002.0406475915.

The spelling of 1006134444 in words is "one billion, six million, one hundred thirty-four thousand, four hundred forty-four".