165216060 has 144 divisors (see below), whose sum is σ = 523216512. Its totient is φ = 42163200.

The previous prime is 165216059. The next prime is 165216067. The reversal of 165216060 is 60612561.

It is a happy number.

165216060 is a `hidden beast` number, since 1 + 6 + 52 + 1 + 606 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165216067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449997 + ... + 450363.

It is an arithmetic number, because the mean of its divisors is an integer number (3633448).

Almost surely, 2^165216060 is an apocalyptic number.

165216060 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 165216060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261608256).

165216060 is an abundant number, since it is smaller than the sum of its proper divisors (358000452).

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

165216060 is a wasteful number, since it uses less digits than its factorization.

165216060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 165216060 is about 12853.6399513912. The cubic root of 165216060 is about 548.7199543189.

It can be divided in two parts, 165 and 216060, that added together give a square (216225 = 465²).

The spelling of 165216060 in words is "one hundred sixty-five million, two hundred sixteen thousand, sixty".