165723648 has 80 divisors (see below), whose sum is σ = 460791936. Its totient is φ = 52828160.

The previous prime is 165723631. The next prime is 165723659. The reversal of 165723648 is 846327561.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32983 + ... + 37673.

Almost surely, 2^165723648 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 165723648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230395968).

165723648 is an abundant number, since it is smaller than the sum of its proper divisors (295068288).

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

165723648 is an equidigital number, since it uses as much as digits as its factorization.

165723648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735 (or 4719 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 165723648 is about 12873.3697220269. The cubic root of 165723648 is about 549.2813180607.

The spelling of 165723648 in words is "one hundred sixty-five million, seven hundred twenty-three thousand, six hundred forty-eight".