165000960 has 108 divisors (see below), whose sum is σ = 570925992. Its totient is φ = 43997184.

The previous prime is 165000937. The next prime is 165000971. The reversal of 165000960 is 69000561.

165000960 is a `hidden beast` number, since 1 + 650 + 0 + 0 + 9 + 6 + 0 = 666.

165000960 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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4359 + ... + 18681.

Almost surely, 2^165000960 is an apocalyptic number.

165000960 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 165000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285462996).

165000960 is an abundant number, since it is smaller than the sum of its proper divisors (405925032).

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

165000960 is a wasteful number, since it uses less digits than its factorization.

165000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14350 (or 14333 counting only the distinct ones).

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

The square root of 165000960 is about 12845.2699465601. The cubic root of 165000960 is about 548.4817189613.

The spelling of 165000960 in words is "one hundred sixty-five million, nine hundred sixty", and thus it is an aban number.