165288768 has 112 divisors (see below), whose sum is σ = 458663040. Its totient is φ = 52475904.

The previous prime is 165288763. The next prime is 165288769. The reversal of 165288768 is 867882561.

It is a self number, because there is not a number n which added to its sum of digits gives 165288768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165288763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376293 + ... + 376731.

Almost surely, 2^165288768 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 165288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229331520).

165288768 is an abundant number, since it is smaller than the sum of its proper divisors (293374272).

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

165288768 is a wasteful number, since it uses less digits than its factorization.

165288768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 165288768 is about 12856.4679441906. The cubic root of 165288768 is about 548.8004357591.

The spelling of 165288768 in words is "one hundred sixty-five million, two hundred eighty-eight thousand, seven hundred sixty-eight".