165480 has 64 divisors (see below), whose sum is σ = 570240. Its totient is φ = 37632.

The previous prime is 165479. The next prime is 165511. The reversal of 165480 is 84561.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 165480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (8910).

2¹⁶⁵⁴⁸⁰ is an apocalyptic number.

165480 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 165480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285120).

165480 is an abundant number, since it is smaller than the sum of its proper divisors (404760).

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

165480 is a wasteful number, since it uses less digits than its factorization.

165480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 165480 is about 406.7923303112. The cubic root of 165480 is about 54.9012000361.

The spelling of 165480 in words is "one hundred sixty-five thousand, four hundred eighty".