165207168 has 128 divisors (see below), whose sum is σ = 557328000. Its totient is φ = 47195136.

The previous prime is 165207167. The next prime is 165207179. The reversal of 165207168 is 861702561.

165207168 is a `hidden beast` number, since 1 + 6 + 520 + 71 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165207167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20778 + ... + 27606.

It is an arithmetic number, because the mean of its divisors is an integer number (4354125).

Almost surely, 2^165207168 is an apocalyptic number.

165207168 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 165207168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278664000).

165207168 is an abundant number, since it is smaller than the sum of its proper divisors (392120832).

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

165207168 is an equidigital number, since it uses as much as digits as its factorization.

165207168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 165207168 is about 12853.2940524988. The cubic root of 165207168 is about 548.7101100270.

The spelling of 165207168 in words is "one hundred sixty-five million, two hundred seven thousand, one hundred sixty-eight".