288716560 has 80 divisors (see below), whose sum is σ = 741738240. Its totient is φ = 103633920.

The previous prime is 288716557. The next prime is 288716569. The reversal of 288716560 is 65617882.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (288716569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67444 + ... + 71596.

It is an arithmetic number, because the mean of its divisors is an integer number (9271728).

Almost surely, 2^288716560 is an apocalyptic number.

288716560 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 288716560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370869120).

288716560 is an abundant number, since it is smaller than the sum of its proper divisors (453021680).

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

288716560 is a wasteful number, since it uses less digits than its factorization.

288716560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 288716560 is about 16991.6614843870. The cubic root of 288716560 is about 660.9326880722.

The spelling of 288716560 in words is "two hundred eighty-eight million, seven hundred sixteen thousand, five hundred sixty".