288608 has 24 divisors (see below), whose sum is σ = 589680. Its totient is φ = 138880.

The previous prime is 288583. The next prime is 288647. The reversal of 288608 is 806882.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 288608.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 773 + ... + 1083.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2²⁸⁸⁶⁰⁸ 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 288608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840).

288608 is an abundant number, since it is smaller than the sum of its proper divisors (301072).

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

288608 is a wasteful number, since it uses less digits than its factorization.

288608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 288608 is about 537.2224864988. Note that the first 3 decimals coincide. The cubic root of 288608 is about 66.0849838827.

The spelling of 288608 in words is "two hundred eighty-eight thousand, six hundred eight".