165911040 has 240 divisors, whose sum is σ = 606434400. Its totient is φ = 41803776.

The previous prime is 165911027. The next prime is 165911047. The reversal of 165911040 is 40119561.

165911040 is a `hidden beast` number, since 1 + 659 + 1 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 165910995 and 165911013.

It is not an unprimeable number, because it can be changed into a prime (165911047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437571 + ... + 437949.

It is an arithmetic number, because the mean of its divisors is an integer number (2526810).

Almost surely, 2^165911040 is an apocalyptic number.

165911040 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 165911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303217200).

165911040 is an abundant number, since it is smaller than the sum of its proper divisors (440523360).

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

165911040 is a wasteful number, since it uses less digits than its factorization.

165911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 165911040 is about 12880.6459465354. The cubic root of 165911040 is about 549.4882733423.

The spelling of 165911040 in words is "one hundred sixty-five million, nine hundred eleven thousand, forty".