165500640 has 288 divisors, whose sum is σ = 622702080. Its totient is φ = 39840768.

The previous prime is 165500611. The next prime is 165500669. The reversal of 165500640 is 46005561.

It is a happy number.

165500640 is a `hidden beast` number, since 1 + 655 + 0 + 0 + 6 + 4 + 0 = 666.

165500640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165500611) and next prime (165500669).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629149 + ... + 629411.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^165500640 is an apocalyptic number.

165500640 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 165500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311351040).

165500640 is an abundant number, since it is smaller than the sum of its proper divisors (457201440).

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

165500640 is a wasteful number, since it uses less digits than its factorization.

165500640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 165500640 is about 12864.7052045509. The cubic root of 165500640 is about 549.0348251471.

The spelling of 165500640 in words is "one hundred sixty-five million, five hundred thousand, six hundred forty".