165927168 has 108 divisors (see below), whose sum is σ = 521980368. Its totient is φ = 50273280.

The previous prime is 165927163. The next prime is 165927199. The reversal of 165927168 is 861729561.

It is not an unprimeable number, because it can be changed into a prime (165927161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22071 + ... + 28617.

Almost surely, 2^165927168 is an apocalyptic number.

165927168 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 165927168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260990184).

165927168 is an abundant number, since it is smaller than the sum of its proper divisors (356053200).

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

165927168 is a wasteful number, since it uses less digits than its factorization.

165927168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6580 (or 6563 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 165927168 is about 12881.2719868808. The cubic root of 165927168 is about 549.5060777828.

The spelling of 165927168 in words is "one hundred sixty-five million, nine hundred twenty-seven thousand, one hundred sixty-eight".