262144 has 19 divisors (see below), whose sum is σ = 524287. Its totient is φ = 131072.

The previous prime is 262139. The next prime is 262147. The reversal of 262144 is 441262.

The square root of 262144 is 512.

The cubic root of 262144 is 64.

It is a perfect power (a square, a cube, a 6-th power, a 9-th power, a 18-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)¹⁸.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=16.

It is a Duffinian number.

Its product of digits (384) is a multiple of the sum of its prime divisors (2).

It is an enlightened number because it begins with the concatenation of its prime factors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (262147) by changing a digit.

In principle, a polygon with 262144 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

262144 is a Friedman number, since it can be written as (4*(2*(2+1)-4))^6, using all its digits and the basic arithmetic operations.

2²⁶²¹⁴⁴ is an apocalyptic number.

262144 is the 512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 262144

262144 is a deficient number, since it is larger than the sum of its proper divisors (262143).

262144 is an frugal number, since it uses more digits than its factorization.

262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 2 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

It can be divided in two parts, 262 and 144, that added together give a triangular number (406 = T₂₈).

The spelling of 262144 in words is "two hundred sixty-two thousand, one hundred forty-four".