165605888 has 160 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 66232320.

The previous prime is 165605879. The next prime is 165605893. The reversal of 165605888 is 888506561.

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 15 ways as a sum of consecutive naturals, for example, 4039148 + ... + 4039188.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^165605888 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 165605888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

165605888 is an abundant number, since it is smaller than the sum of its proper divisors (246867712).

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

165605888 is an frugal number, since it uses more digits than its factorization.

165605888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 47.

The square root of 165605888 is about 12868.7951261958. The cubic root of 165605888 is about 549.1511843596.

The spelling of 165605888 in words is "one hundred sixty-five million, six hundred five thousand, eight hundred eighty-eight".