165442368 has 224 divisors, whose sum is σ = 571463424. Its totient is φ = 40992768.

The previous prime is 165442301. The next prime is 165442379. The reversal of 165442368 is 863244561.

It is a tau number, because it is divible by the number of its divisors (224).

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

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 31 ways as a sum of consecutive naturals, for example, 296746 + ... + 297302.

It is an arithmetic number, because the mean of its divisors is an integer number (2551176).

Almost surely, 2^165442368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285731712).

165442368 is an abundant number, since it is smaller than the sum of its proper divisors (406021056).

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

165442368 is a wasteful number, since it uses less digits than its factorization.

165442368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 599 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 165442368 is about 12862.4402039426. The cubic root of 165442368 is about 548.9703800530.

The spelling of 165442368 in words is "one hundred sixty-five million, four hundred forty-two thousand, three hundred sixty-eight".