1006840029 has 16 divisors (see below), whose sum is σ = 1447084800. Its totient is φ = 619008576.

The previous prime is 1006840027. The next prime is 1006840031. The reversal of 1006840029 is 9200486001.

It is an interprime number because it is at equal distance from previous prime (1006840027) and next prime (1006840031).

It is not a de Polignac number, because 1006840029 - 2¹ = 1006840027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006839978 and 1006840005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006840027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31612 + ... + 54890.

It is an arithmetic number, because the mean of its divisors is an integer number (90442800).

Almost surely, 2^1006840029 is an apocalyptic number.

It is an amenable number.

1006840029 is a deficient number, since it is larger than the sum of its proper divisors (440244771).

1006840029 is a wasteful number, since it uses less digits than its factorization.

1006840029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24404.

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

The square root of 1006840029 is about 31730.7426481008. The cubic root of 1006840029 is about 1002.2748308871.

The spelling of 1006840029 in words is "one billion, six million, eight hundred forty thousand, twenty-nine".