165968352 has 120 divisors (see below), whose sum is σ = 532573272. Its totient is φ = 50284800.

The previous prime is 165968339. The next prime is 165968353. The reversal of 165968352 is 253869561.

165968352 is a `hidden beast` number, since 1 + 6 + 596 + 8 + 3 + 52 = 666.

165968352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 165968298 and 165968307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165968353) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25602 + ... + 31422.

Almost surely, 2^165968352 is an apocalyptic number.

165968352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165968352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266286636).

165968352 is an abundant number, since it is smaller than the sum of its proper divisors (366604920).

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

165968352 is a wasteful number, since it uses less digits than its factorization.

165968352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5837 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 165968352 is about 12882.8704875893. The cubic root of 165968352 is about 549.5515374594.

The spelling of 165968352 in words is "one hundred sixty-five million, nine hundred sixty-eight thousand, three hundred fifty-two".