165585168 has 160 divisors (see below), whose sum is σ = 575320320. Its totient is φ = 44513280.

The previous prime is 165585149. The next prime is 165585191. The reversal of 165585168 is 861585561.

165585168 is a `hidden beast` number, since 1 + 6 + 5 + 585 + 1 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49798 + ... + 53018.

It is an arithmetic number, because the mean of its divisors is an integer number (3595752).

Almost surely, 2^165585168 is an apocalyptic number.

165585168 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 165585168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287660160).

165585168 is an abundant number, since it is smaller than the sum of its proper divisors (409735152).

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

165585168 is a wasteful number, since it uses less digits than its factorization.

165585168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3250 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The square root of 165585168 is about 12867.9900528404. The cubic root of 165585168 is about 549.1282808118.

The spelling of 165585168 in words is "one hundred sixty-five million, five hundred eighty-five thousand, one hundred sixty-eight".