165988116 has 120 divisors (see below), whose sum is σ = 500068800. Its totient is φ = 47029248.

The previous prime is 165988087. The next prime is 165988157. The reversal of 165988116 is 611889561.

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 39 ways as a sum of consecutive naturals, for example, 369460 + ... + 369908.

It is an arithmetic number, because the mean of its divisors is an integer number (4167240).

Almost surely, 2^165988116 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 165988116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250034400).

165988116 is an abundant number, since it is smaller than the sum of its proper divisors (334080684).

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

165988116 is a wasteful number, since it uses less digits than its factorization.

165988116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 165988116 is about 12883.6375298283. The cubic root of 165988116 is about 549.5733506653.

The spelling of 165988116 in words is "one hundred sixty-five million, nine hundred eighty-eight thousand, one hundred sixteen".