288064 has 28 divisors (see below), whose sum is σ = 654304. Its totient is φ = 123264.

The previous prime is 288061. The next prime is 288077. The reversal of 288064 is 460882.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127 + ... + 769.

It is an arithmetic number, because the mean of its divisors is an integer number (23368).

2²⁸⁸⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327152).

288064 is an abundant number, since it is smaller than the sum of its proper divisors (366240).

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

288064 is an equidigital number, since it uses as much as digits as its factorization.

288064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 288064 is about 536.7159397670. The cubic root of 288064 is about 66.0434363597.

The spelling of 288064 in words is "two hundred eighty-eight thousand, sixty-four".