288642 has 16 divisors (see below), whose sum is σ = 586080. Its totient is φ = 94752.

The previous prime is 288583. The next prime is 288647. The reversal of 288642 is 246882.

It is a happy number.

It is a d-powerful number, because it can be written as 2 + 8⁴ + 6⁷ + 8⁴ + 4⁴ + 2⁸ .

It is not an unprimeable number, because it can be changed into a prime (288647) by changing a digit.

288642 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, 109 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (36630).

2²⁸⁸⁶⁴² is an apocalyptic number.

288642 is an abundant number, since it is smaller than the sum of its proper divisors (297438).

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

288642 is a wasteful number, since it uses less digits than its factorization.

288642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737.

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

The square root of 288642 is about 537.2541298120. The cubic root of 288642 is about 66.0875788687.

The spelling of 288642 in words is "two hundred eighty-eight thousand, six hundred forty-two".