165840168 has 64 divisors (see below), whose sum is σ = 472772160. Its totient is φ = 48024576.

The previous prime is 165840163. The next prime is 165840187. The reversal of 165840168 is 861048561.

It is a super-2 number, since 2×165840168² = 55005922644536448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (165840163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10330 + ... + 20937.

It is an arithmetic number, because the mean of its divisors is an integer number (7387065).

Almost surely, 2^165840168 is an apocalyptic number.

It is an amenable number.

165840168 is an abundant number, since it is smaller than the sum of its proper divisors (306931992).

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

165840168 is a wasteful number, since it uses less digits than its factorization.

165840168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31306 (or 31302 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 165840168 is about 12877.8945484112. The cubic root of 165840168 is about 549.4100208054.

The spelling of 165840168 in words is "one hundred sixty-five million, eight hundred forty thousand, one hundred sixty-eight".