165508668 has 144 divisors (see below), whose sum is σ = 485424576. Its totient is φ = 47093760.

The previous prime is 165508663. The next prime is 165508669. The reversal of 165508668 is 866805561.

165508668 is a `hidden beast` number, since 16 + 550 + 86 + 6 + 8 = 666.

165508668 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165508663) 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 47 ways as a sum of consecutive naturals, for example, 564730 + ... + 565022.

It is an arithmetic number, because the mean of its divisors is an integer number (3371004).

Almost surely, 2^165508668 is an apocalyptic number.

165508668 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 165508668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242712288).

165508668 is an abundant number, since it is smaller than the sum of its proper divisors (319915908).

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

165508668 is a wasteful number, since it uses less digits than its factorization.

165508668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 165508668 is about 12865.0172172446. The cubic root of 165508668 is about 549.0437024145.

It can be divided in two parts, 165508 and 668, that added together give a triangular number (166176 = T₅₇₆).

The spelling of 165508668 in words is "one hundred sixty-five million, five hundred eight thousand, six hundred sixty-eight".