288624 has 40 divisors (see below), whose sum is σ = 853120. Its totient is φ = 82368.

The previous prime is 288583. The next prime is 288647. The reversal of 288624 is 426882.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 288591 and 288600.

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 288624.

It is an unprimeable number.

288624 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 7 ways as a sum of consecutive naturals, for example, 94 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (21328).

2²⁸⁸⁶²⁴ is an apocalyptic number.

288624 is a gapful number since it is divisible by the number (24) 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 288624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426560).

288624 is an abundant number, since it is smaller than the sum of its proper divisors (564496).

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

288624 is a wasteful number, since it uses less digits than its factorization.

288624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 871 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 288624 is about 537.2373777019. The cubic root of 288624 is about 66.0862050780.

The spelling of 288624 in words is "two hundred eighty-eight thousand, six hundred twenty-four".