1006976793 has 32 divisors (see below), whose sum is σ = 1467196416. Its totient is φ = 611739648.

The previous prime is 1006976791. The next prime is 1006976797. The reversal of 1006976793 is 3976796001.

1006976793 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1006976793 - 2¹ = 1006976791 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006976791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419605 + ... + 421997.

It is an arithmetic number, because the mean of its divisors is an integer number (45849888).

Almost surely, 2^1006976793 is an apocalyptic number.

It is an amenable number.

1006976793 is a deficient number, since it is larger than the sum of its proper divisors (460219623).

1006976793 is a wasteful number, since it uses less digits than its factorization.

1006976793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673.

The product of its (nonzero) digits is 428652, while the sum is 48.

The square root of 1006976793 is about 31732.8976458186. The cubic root of 1006976793 is about 1002.3202101281.

The spelling of 1006976793 in words is "one billion, six million, nine hundred seventy-six thousand, seven hundred ninety-three".