165949344 has 192 divisors, whose sum is σ = 556416000. Its totient is φ = 47589120.

The previous prime is 165949331. The next prime is 165949349. The reversal of 165949344 is 443949561.

165949344 is a `hidden beast` number, since 16 + 594 + 9 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 165949344.

It is not an unprimeable number, because it can be changed into a prime (165949349) 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 31 ways as a sum of consecutive naturals, for example, 180117 + ... + 181035.

It is an arithmetic number, because the mean of its divisors is an integer number (2898000).

Almost surely, 2^165949344 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 165949344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278208000).

165949344 is an abundant number, since it is smaller than the sum of its proper divisors (390466656).

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

165949344 is a wasteful number, since it uses less digits than its factorization.

165949344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 954 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 165949344 is about 12882.1327426789. The cubic root of 165949344 is about 549.5305570048.

The spelling of 165949344 in words is "one hundred sixty-five million, nine hundred forty-nine thousand, three hundred forty-four".