165585570 has 64 divisors (see below), whose sum is σ = 431861760. Its totient is φ = 40478400.

The previous prime is 165585569. The next prime is 165585577. The reversal of 165585570 is 75585561.

165585570 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165585577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12985 + ... + 22355.

It is an arithmetic number, because the mean of its divisors is an integer number (6747840).

Almost surely, 2^165585570 is an apocalyptic number.

165585570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165585570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215930880).

165585570 is an abundant number, since it is smaller than the sum of its proper divisors (266276190).

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

165585570 is a wasteful number, since it uses less digits than its factorization.

165585570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9431.

The product of its (nonzero) digits is 210000, while the sum is 42.

The square root of 165585570 is about 12868.0056729860. The cubic root of 165585570 is about 549.1287251942.

Subtracting from 165585570 its reverse (75585561), we obtain a palindrome (90000009).

The spelling of 165585570 in words is "one hundred sixty-five million, five hundred eighty-five thousand, five hundred seventy".