165960 has 48 divisors (see below), whose sum is σ = 540540. Its totient is φ = 44160.

The previous prime is 165947. The next prime is 165961. The reversal of 165960 is 69561.

165960 is a `hidden beast` number, since 1 + 659 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161604 + 4356 = 402^2 + 66^2 .

It is not an unprimeable number, because it can be changed into a prime (165961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130 + ... + 590.

2¹⁶⁵⁹⁶⁰ is an apocalyptic number.

165960 is a gapful number since it is divisible by the number (10) 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 165960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270270).

165960 is an abundant number, since it is smaller than the sum of its proper divisors (374580).

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

165960 is a wasteful number, since it uses less digits than its factorization.

165960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 165960 is about 407.3818847224. The cubic root of 165960 is about 54.9542318972.

The spelling of 165960 in words is "one hundred sixty-five thousand, nine hundred sixty".