165960000 has 210 divisors, whose sum is σ = 595717122. Its totient is φ = 44160000.

The previous prime is 165959993. The next prime is 165960017. The reversal of 165960000 is 69561.

165960000 is a `hidden beast` number, since 1 + 6 + 59 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 80138304 + 85821696 = 8952^2 + 9264^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 359770 + ... + 360230.

Almost surely, 2^165960000 is an apocalyptic number.

165960000 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 165960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297858561).

165960000 is an abundant number, since it is smaller than the sum of its proper divisors (429757122).

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

165960000 is an equidigital number, since it uses as much as digits as its factorization.

165960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 471 counting only the distinct ones).

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

The square root of 165960000 is about 12882.5463321503. The cubic root of 165960000 is about 549.5423189721.

The spelling of 165960000 in words is "one hundred sixty-five million, nine hundred sixty thousand".