165903320 has 64 divisors (see below), whose sum is σ = 420387840. Its totient is φ = 58377600.

The previous prime is 165903319. The next prime is 165903349. The reversal of 165903320 is 23309561.

165903320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7559 + ... + 19721.

It is an arithmetic number, because the mean of its divisors is an integer number (6568560).

Almost surely, 2^165903320 is an apocalyptic number.

165903320 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 165903320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210193920).

165903320 is an abundant number, since it is smaller than the sum of its proper divisors (254484520).

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

165903320 is a wasteful number, since it uses less digits than its factorization.

165903320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12216 (or 12212 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 165903320 is about 12880.3462686373. The cubic root of 165903320 is about 549.4797504711.

The spelling of 165903320 in words is "one hundred sixty-five million, nine hundred three thousand, three hundred twenty".