288020 has 12 divisors (see below), whose sum is σ = 604884. Its totient is φ = 115200.

The previous prime is 288007. The next prime is 288023. The reversal of 288020 is 20882.

288020 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 228484 + 59536 = 478^2 + 244^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 14401 = 288020 / (2 + 8 + 8 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 287983 and 288001.

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 288020.

It is not an unprimeable number, because it can be changed into a prime (288023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7181 + ... + 7220.

It is an arithmetic number, because the mean of its divisors is an integer number (50407).

2²⁸⁸⁰²⁰ is an apocalyptic number.

288020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288020 is an abundant number, since it is smaller than the sum of its proper divisors (316864).

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

288020 is a wasteful number, since it uses less digits than its factorization.

288020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14410 (or 14408 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 288020 is about 536.6749481763. The cubic root of 288020 is about 66.0400736125.

It can be divided in two parts, 2880 and 20, that multiplied together give a square (57600 = 240²).

The spelling of 288020 in words is "two hundred eighty-eight thousand, twenty".