163280 has 40 divisors (see below), whose sum is σ = 411432. Its totient is φ = 59904.

The previous prime is 163259. The next prime is 163307. The reversal of 163280 is 82361.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 163216 = 8^2 + 404^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 962 + ... + 1118.

2¹⁶³²⁸⁰ is an apocalyptic number.

163280 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 163280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205716).

163280 is an abundant number, since it is smaller than the sum of its proper divisors (248152).

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

163280 is a wasteful number, since it uses less digits than its factorization.

163280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 163280 is about 404.0792001576. The cubic root of 163280 is about 54.6568162568.

The spelling of 163280 in words is "one hundred sixty-three thousand, two hundred eighty".