165329920 has 132 divisors (see below), whose sum is σ = 462048840. Its totient is φ = 56598528.

The previous prime is 165329897. The next prime is 165329921. The reversal of 165329920 is 29923561.

It is a self number, because there is not a number n which added to its sum of digits gives 165329920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165329921) 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, 250551 + ... + 251209.

It is an arithmetic number, because the mean of its divisors is an integer number (3500370).

Almost surely, 2^165329920 is an apocalyptic number.

165329920 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 165329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231024420).

165329920 is an abundant number, since it is smaller than the sum of its proper divisors (296718920).

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

165329920 is an equidigital number, since it uses as much as digits as its factorization.

165329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 165329920 is about 12858.0682841553. The cubic root of 165329920 is about 548.8459769894.

The spelling of 165329920 in words is "one hundred sixty-five million, three hundred twenty-nine thousand, nine hundred twenty".