165052608 has 112 divisors (see below), whose sum is σ = 502212864. Its totient is φ = 46863360.

The previous prime is 165052607. The next prime is 165052627. The reversal of 165052608 is 806250561.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165052607) 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, 304818 + ... + 305358.

Almost surely, 2^165052608 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 165052608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251106432).

165052608 is an abundant number, since it is smaller than the sum of its proper divisors (337160256).

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

165052608 is a wasteful number, since it uses less digits than its factorization.

165052608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 165052608 is about 12847.2801790885. The cubic root of 165052608 is about 548.5389409084.

The spelling of 165052608 in words is "one hundred sixty-five million, fifty-two thousand, six hundred eight".