1665165168 has 160 divisors (see below), whose sum is σ = 5168121600. Its totient is φ = 511536384.

The previous prime is 1665165163. The next prime is 1665165197. The reversal of 1665165168 is 8615615661.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1665165163) 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 31 ways as a sum of consecutive naturals, for example, 300955 + ... + 306437.

It is an arithmetic number, because the mean of its divisors is an integer number (32300760).

Almost surely, 2^1665165168 is an apocalyptic number.

1665165168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1665165168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584060800).

1665165168 is an abundant number, since it is smaller than the sum of its proper divisors (3502956432).

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

1665165168 is a wasteful number, since it uses less digits than its factorization.

1665165168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5544 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 1665165168 is about 40806.4353748278. The cubic root of 1665165168 is about 1185.2749498194.

The spelling of 1665165168 in words is "one billion, six hundred sixty-five million, one hundred sixty-five thousand, one hundred sixty-eight".