164480 has 32 divisors (see below), whose sum is σ = 394740. Its totient is φ = 65536.

The previous prime is 164477. The next prime is 164503. The reversal of 164480 is 84461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 10816 = 392^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 4.

It is an unprimeable number.

In principle, a polygon with 164480 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 512 + ... + 768.

164480 is a Friedman number, since it can be written as 40*(16+8^4), using all its digits and the basic arithmetic operations.

2¹⁶⁴⁴⁸⁰ is an apocalyptic number.

164480 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 164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197370).

164480 is an abundant number, since it is smaller than the sum of its proper divisors (230260).

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

164480 is an equidigital number, since it uses as much as digits as its factorization.

164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 164480 is about 405.5613393804. The cubic root of 164480 is about 54.7903867201.

The spelling of 164480 in words is "one hundred sixty-four thousand, four hundred eighty".