165660560 has 60 divisors (see below), whose sum is σ = 417101652. Its totient is φ = 61161984.

The previous prime is 165660533. The next prime is 165660569. The reversal of 165660560 is 65066561.

It can be written as a sum of positive squares in 6 ways, for example, as 33686416 + 131974144 = 5804^2 + 11488^2 .

It is a super-2 number, since 2×165660560² = 54886842279027200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 165660560.

It is not an unprimeable number, because it can be changed into a prime (165660569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7394 + ... + 19646.

Almost surely, 2^165660560 is an apocalyptic number.

165660560 is a gapful number since it is divisible by the number (10) 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 165660560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208550826).

165660560 is an abundant number, since it is smaller than the sum of its proper divisors (251441092).

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

165660560 is a wasteful number, since it uses less digits than its factorization.

165660560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12292 (or 12273 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 165660560 is about 12870.9191590966. The cubic root of 165660560 is about 549.2116087214.

The spelling of 165660560 in words is "one hundred sixty-five million, six hundred sixty thousand, five hundred sixty".