1006944666 has 128 divisors (see below), whose sum is σ = 2622799872. Its totient is φ = 250560000.

The previous prime is 1006944661. The next prime is 1006944671. The reversal of 1006944666 is 6664496001.

It is an interprime number because it is at equal distance from previous prime (1006944661) and next prime (1006944671).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1006944661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693241 + ... + 694691.

It is an arithmetic number, because the mean of its divisors is an integer number (20490624).

Almost surely, 2^1006944666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006944666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311399936).

1006944666 is an abundant number, since it is smaller than the sum of its proper divisors (1615855206).

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

1006944666 is a wasteful number, since it uses less digits than its factorization.

1006944666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548.

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 1006944666 is about 31732.3914320998. The cubic root of 1006944666 is about 1002.3095505366.

The spelling of 1006944666 in words is "one billion, six million, nine hundred forty-four thousand, six hundred sixty-six".