165963168 has 144 divisors (see below), whose sum is σ = 559540800. Its totient is φ = 47402496.

The previous prime is 165963137. The next prime is 165963169. The reversal of 165963168 is 861369561.

165963168 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 631 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (165963169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52908 + ... + 55956.

It is an arithmetic number, because the mean of its divisors is an integer number (3885700).

Almost surely, 2^165963168 is an apocalyptic number.

165963168 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 165963168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279770400).

165963168 is an abundant number, since it is smaller than the sum of its proper divisors (393577632).

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

165963168 is an equidigital number, since it uses as much as digits as its factorization.

165963168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3061 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 165963168 is about 12882.6692886218. The cubic root of 165963168 is about 549.5458156761.

The spelling of 165963168 in words is "one hundred sixty-five million, nine hundred sixty-three thousand, one hundred sixty-eight".