1007968467 has 16 divisors (see below), whose sum is σ = 1505763072. Its totient is φ = 594378720.

The previous prime is 1007968459. The next prime is 1007968519. The reversal of 1007968467 is 7648697001.

It is not a de Polignac number, because 1007968467 - 2³ = 1007968459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007968667) 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, 411543 + ... + 413984.

It is an arithmetic number, because the mean of its divisors is an integer number (94110192).

Almost surely, 2^1007968467 is an apocalyptic number.

1007968467 is a deficient number, since it is larger than the sum of its proper divisors (497794605).

1007968467 is a wasteful number, since it uses less digits than its factorization.

1007968467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825578.

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 1007968467 is about 31748.5191308193. The cubic root of 1007968467 is about 1002.6491315715.

The spelling of 1007968467 in words is "one billion, seven million, nine hundred sixty-eight thousand, four hundred sixty-seven".