1006632968 has 32 divisors (see below), whose sum is σ = 2180144160. Its totient is φ = 430644480.

The previous prime is 1006632947. The next prime is 1006632983. The reversal of 1006632968 is 8692366001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334946 + ... + 337937.

It is an arithmetic number, because the mean of its divisors is an integer number (68129505).

Almost surely, 2^1006632968 is an apocalyptic number.

It is an amenable number.

1006632968 is an abundant number, since it is smaller than the sum of its proper divisors (1173511192).

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

1006632968 is a wasteful number, since it uses less digits than its factorization.

1006632968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672917 (or 672913 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 1006632968 is about 31727.4796982048. The cubic root of 1006632968 is about 1002.2061187942.

Adding to 1006632968 its reverse (8692366001), we get a palindrome (9698998969).

It can be divided in two parts, 10066 and 32968, that added together give a palindrome (43034).

The spelling of 1006632968 in words is "one billion, six million, six hundred thirty-two thousand, nine hundred sixty-eight".