1008000966 has 64 divisors (see below), whose sum is σ = 2422702080. Its totient is φ = 273490560.

The previous prime is 1008000923. The next prime is 1008000971. The reversal of 1008000966 is 6690008001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67515 + ... + 81081.

It is an arithmetic number, because the mean of its divisors is an integer number (37854720).

Almost surely, 2^1008000966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008000966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211351040).

1008000966 is an abundant number, since it is smaller than the sum of its proper divisors (1414701114).

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

1008000966 is a wasteful number, since it uses less digits than its factorization.

1008000966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13669.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1008000966 is about 31749.0309458415. The cubic root of 1008000966 is about 1002.6599072868.

Adding to 1008000966 its reverse (6690008001), we get a palindrome (7698008967).

The spelling of 1008000966 in words is "one billion, eight million, nine hundred sixty-six", and thus it is an aban number.