165580 has 24 divisors (see below), whose sum is σ = 368928. Its totient is φ = 62208.

The previous prime is 165569. The next prime is 165587. The reversal of 165580 is 85561.

It is not an unprimeable number, because it can be changed into a prime (165587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97 + ... + 583.

It is an arithmetic number, because the mean of its divisors is an integer number (15372).

2¹⁶⁵⁵⁸⁰ is an apocalyptic number.

165580 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 165580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184464).

165580 is an abundant number, since it is smaller than the sum of its proper divisors (203348).

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

165580 is a wasteful number, since it uses less digits than its factorization.

165580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 165580 is about 406.9152245862. The cubic root of 165580 is about 54.9122567892.

The spelling of 165580 in words is "one hundred sixty-five thousand, five hundred eighty".