270980 has 24 divisors (see below), whose sum is σ = 603288. Its totient is φ = 101888.

The previous prime is 270973. The next prime is 271003. The reversal of 270980 is 89072.

270980 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 53824 + 217156 = 232^2 + 466^2 .

It is an unprimeable number.

270980 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, 59 + ... + 738.

It is an arithmetic number, because the mean of its divisors is an integer number (25137).

2²⁷⁰⁹⁸⁰ is an apocalyptic number.

270980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270980 is an abundant number, since it is smaller than the sum of its proper divisors (332308).

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

270980 is a wasteful number, since it uses less digits than its factorization.

270980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 270980 is about 520.5573935696. The cubic root of 270980 is about 64.7111442812.

The spelling of 270980 in words is "two hundred seventy thousand, nine hundred eighty".