165632768 has 72 divisors (see below), whose sum is σ = 400149792. Its totient is φ = 66797568.

The previous prime is 165632759. The next prime is 165632843. The reversal of 165632768 is 867236561.

165632768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27746 + ... + 33182.

It is an arithmetic number, because the mean of its divisors is an integer number (5557636).

Almost surely, 2^165632768 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 165632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200074896).

165632768 is an abundant number, since it is smaller than the sum of its proper divisors (234517024).

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

165632768 is an equidigital number, since it uses as much as digits as its factorization.

165632768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477 (or 5463 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 165632768 is about 12869.8394706383. The cubic root of 165632768 is about 549.1808942237.

The spelling of 165632768 in words is "one hundred sixty-five million, six hundred thirty-two thousand, seven hundred sixty-eight".