288660 has 48 divisors (see below), whose sum is σ = 858816. Its totient is φ = 72192.

The previous prime is 288653. The next prime is 288661. The reversal of 288660 is 66882.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 288660.

It is not an unprimeable number, because it can be changed into a prime (288661) by changing a digit.

288660 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (17892).

2²⁸⁸⁶⁶⁰ is an apocalyptic number.

288660 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 288660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429408).

288660 is an abundant number, since it is smaller than the sum of its proper divisors (570156).

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

288660 is a wasteful number, since it uses less digits than its factorization.

288660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 288660 is about 537.2708813997. The cubic root of 288660 is about 66.0889526024.

The spelling of 288660 in words is "two hundred eighty-eight thousand, six hundred sixty".