1006956946 has 32 divisors (see below), whose sum is σ = 1606348800. Its totient is φ = 472087440.

The previous prime is 1006956941. The next prime is 1006956959. The reversal of 1006956946 is 6496596001.

It is a junction number, because it is equal to n+sod(n) for n = 1006956896 and 1006956905.

It is not an unprimeable number, because it can be changed into a prime (1006956941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2804715 + ... + 2805073.

It is an arithmetic number, because the mean of its divisors is an integer number (50198400).

Almost surely, 2^1006956946 is an apocalyptic number.

1006956946 is a deficient number, since it is larger than the sum of its proper divisors (599391854).

1006956946 is a wasteful number, since it uses less digits than its factorization.

1006956946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934.

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 1006956946 is about 31732.5849246480. The cubic root of 1006956946 is about 1002.3136250111.

The spelling of 1006956946 in words is "one billion, six million, nine hundred fifty-six thousand, nine hundred forty-six".