165066320 has 80 divisors (see below), whose sum is σ = 400688640. Its totient is φ = 63168000.

The previous prime is 165066283. The next prime is 165066329. The reversal of 165066320 is 23660561.

165066320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165066329) 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, 250151 + ... + 250809.

It is an arithmetic number, because the mean of its divisors is an integer number (5008608).

Almost surely, 2^165066320 is an apocalyptic number.

165066320 is a gapful number since it is divisible by the number (10) 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 165066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200344320).

165066320 is an abundant number, since it is smaller than the sum of its proper divisors (235622320).

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

165066320 is a wasteful number, since it uses less digits than its factorization.

165066320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 165066320 is about 12847.8138218142. The cubic root of 165066320 is about 548.5541307273.

The spelling of 165066320 in words is "one hundred sixty-five million, sixty-six thousand, three hundred twenty".