262180 has 12 divisors (see below), whose sum is σ = 550620. Its totient is φ = 104864.

The previous prime is 262153. The next prime is 262187. The reversal of 262180 is 81262.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 164836 = 312^2 + 406^2 .

It is not an unprimeable number, because it can be changed into a prime (262187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6535 + ... + 6574.

It is an arithmetic number, because the mean of its divisors is an integer number (45885).

262180 is a Friedman number, since it can be written as 6^2+2^(10+8), using all its digits and the basic arithmetic operations.

2²⁶²¹⁸⁰ is an apocalyptic number.

262180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

262180 is an abundant number, since it is smaller than the sum of its proper divisors (288440).

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

262180 is a wasteful number, since it uses less digits than its factorization.

262180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13118 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 262180 is about 512.0351550431. The cubic root of 262180 is about 64.0029295534.

It can be divided in two parts, 2621 and 80, that added together give a triangular number (2701 = T₇₃).

The spelling of 262180 in words is "two hundred sixty-two thousand, one hundred eighty".