165608064 has 80 divisors (see below), whose sum is σ = 492877770. Its totient is φ = 55199232.

The previous prime is 165608063. The next prime is 165608071. The reversal of 165608064 is 460806561.

165608064 is a `hidden beast` number, since 16 + 560 + 80 + 6 + 4 = 666.

165608064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 124545600 + 41062464 = 11160^2 + 6408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165608063) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2382 + ... + 18354.

Almost surely, 2^165608064 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 165608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246438885).

165608064 is an abundant number, since it is smaller than the sum of its proper divisors (327269706).

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

165608064 is an equidigital number, since it uses as much as digits as its factorization.

165608064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15999 (or 15978 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 165608064 is about 12868.8796715176. The cubic root of 165608064 is about 549.1535895635.

The spelling of 165608064 in words is "one hundred sixty-five million, six hundred eight thousand, sixty-four".