161280 has 120 divisors (see below), whose sum is σ = 638352. Its totient is φ = 36864.

The previous prime is 161267. The next prime is 161281. The reversal of 161280 is 82161.

It is a Jordan-Polya number, since it can be written as 8! ⋅ (2!)².

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×161280² = 52022476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161281) by changing a digit.

161280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23037 + ... + 23043.

2¹⁶¹²⁸⁰ is an apocalyptic number.

161280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

161280 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319176).

161280 is an abundant number, since it is smaller than the sum of its proper divisors (477072).

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

161280 is an equidigital number, since it uses as much as digits as its factorization.

161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 161280 is about 401.5968127364. The cubic root of 161280 is about 54.4327369276.

It can be divided in two parts, 161 and 280, that added together give a square (441 = 21²).

The spelling of 161280 in words is "one hundred sixty-one thousand, two hundred eighty".