270560 has 48 divisors (see below), whose sum is σ = 680400. Its totient is φ = 101376.

The previous prime is 270553. The next prime is 270563. The reversal of 270560 is 65072.

270560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 270560.

It is not an unprimeable number, because it can be changed into a prime (270563) by changing a digit.

270560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2996 + ... + 3084.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2²⁷⁰⁵⁶⁰ is an apocalyptic number.

270560 is a gapful number since it is divisible by the number (20) 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 270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340200).

270560 is an abundant number, since it is smaller than the sum of its proper divisors (409840).

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

270560 is a wasteful number, since it uses less digits than its factorization.

270560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 270560 is about 520.1538234023. The cubic root of 270560 is about 64.6776944148.

The spelling of 270560 in words is "two hundred seventy thousand, five hundred sixty".