1007668165 has 16 divisors (see below), whose sum is σ = 1392832512. Its totient is φ = 685528704.

The previous prime is 1007668163. The next prime is 1007668201. The reversal of 1007668165 is 5618667001.

It is not a de Polignac number, because 1007668165 - 2¹ = 1007668163 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007668163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108904 + ... + 117793.

It is an arithmetic number, because the mean of its divisors is an integer number (87052032).

Almost surely, 2^1007668165 is an apocalyptic number.

It is an amenable number.

1007668165 is a deficient number, since it is larger than the sum of its proper divisors (385164347).

1007668165 is a wasteful number, since it uses less digits than its factorization.

1007668165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226836.

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 1007668165 is about 31743.7893925725. The cubic root of 1007668165 is about 1002.5495492743.

The spelling of 1007668165 in words is "one billion, seven million, six hundred sixty-eight thousand, one hundred sixty-five".