1006873336 has 32 divisors (see below), whose sum is σ = 2174071680. Its totient is φ = 428220000.

The previous prime is 1006873313. The next prime is 1006873349. The reversal of 1006873336 is 6333786001.

1006873336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1006873295 and 1006873304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61290 + ... + 75961.

It is an arithmetic number, because the mean of its divisors is an integer number (67939740).

Almost surely, 2^1006873336 is an apocalyptic number.

It is an amenable number.

1006873336 is an abundant number, since it is smaller than the sum of its proper divisors (1167198344).

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

1006873336 is a wasteful number, since it uses less digits than its factorization.

1006873336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137395 (or 137391 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 1006873336 is about 31731.2674817758. The cubic root of 1006873336 is about 1002.2858827586.

The spelling of 1006873336 in words is "one billion, six million, eight hundred seventy-three thousand, three hundred thirty-six".