165161568 has 192 divisors, whose sum is σ = 521240832. Its totient is φ = 45127680.

The previous prime is 165161561. The next prime is 165161593. The reversal of 165161568 is 865161561.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165161561) 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 31 ways as a sum of consecutive naturals, for example, 727471 + ... + 727697.

It is an arithmetic number, because the mean of its divisors is an integer number (2714796).

Almost surely, 2^165161568 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 165161568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260620416).

165161568 is an abundant number, since it is smaller than the sum of its proper divisors (356079264).

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

165161568 is a wasteful number, since it uses less digits than its factorization.

165161568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 165161568 is about 12851.5200657354. The cubic root of 165161568 is about 548.6596209274.

The spelling of 165161568 in words is "one hundred sixty-five million, one hundred sixty-one thousand, five hundred sixty-eight".