288165160 has 64 divisors (see below), whose sum is σ = 683354880. Its totient is φ = 109148160.

The previous prime is 288165151. The next prime is 288165167. The reversal of 288165160 is 61561882.

It is not an unprimeable number, because it can be changed into a prime (288165167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93240 + ... + 96280.

It is an arithmetic number, because the mean of its divisors is an integer number (10677420).

Almost surely, 2^288165160 is an apocalyptic number.

288165160 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 288165160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341677440).

288165160 is an abundant number, since it is smaller than the sum of its proper divisors (395189720).

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

288165160 is a wasteful number, since it uses less digits than its factorization.

288165160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 288165160 is about 16975.4281242035. The cubic root of 288165160 is about 660.5116632258.

The spelling of 288165160 in words is "two hundred eighty-eight million, one hundred sixty-five thousand, one hundred sixty".