165328600 has 96 divisors (see below), whose sum is σ = 405688320. Its totient is φ = 62536320.

The previous prime is 165328573. The next prime is 165328627. The reversal of 165328600 is 6823561.

It is an interprime number because it is at equal distance from previous prime (165328573) and next prime (165328627).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584059 + ... + 584341.

It is an arithmetic number, because the mean of its divisors is an integer number (4225920).

Almost surely, 2^165328600 is an apocalyptic number.

165328600 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 165328600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202844160).

165328600 is an abundant number, since it is smaller than the sum of its proper divisors (240359720).

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

165328600 is a wasteful number, since it uses less digits than its factorization.

165328600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 165328600 is about 12858.0169544141. The cubic root of 165328600 is about 548.8445163168.

The spelling of 165328600 in words is "one hundred sixty-five million, three hundred twenty-eight thousand, six hundred".