165441056 has 96 divisors (see below), whose sum is σ = 387374400. Its totient is φ = 68705280.

The previous prime is 165441053. The next prime is 165441077. The reversal of 165441056 is 650144561.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (165441053) by changing a digit.

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, 193526 + ... + 194378.

It is an arithmetic number, because the mean of its divisors is an integer number (4035150).

Almost surely, 2^165441056 is an apocalyptic number.

165441056 is a gapful number since it is divisible by the number (16) 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 165441056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193687200).

165441056 is an abundant number, since it is smaller than the sum of its proper divisors (221933344).

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

165441056 is a wasteful number, since it uses less digits than its factorization.

165441056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 165441056 is about 12862.3892026326. The cubic root of 165441056 is about 548.9689288910.

The spelling of 165441056 in words is "one hundred sixty-five million, four hundred forty-one thousand, fifty-six".