288670080 has 128 divisors (see below), whose sum is σ = 925344000. Its totient is φ = 76544000.

The previous prime is 288670069. The next prime is 288670093. The reversal of 288670080 is 80076882.

288670080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481621 + ... + 482219.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2^288670080 is an apocalyptic number.

288670080 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 288670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672000).

288670080 is an abundant number, since it is smaller than the sum of its proper divisors (636673920).

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

288670080 is a wasteful number, since it uses less digits than its factorization.

288670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 288670080 is about 16990.2936996392. The cubic root of 288670080 is about 660.8972186831.

The spelling of 288670080 in words is "two hundred eighty-eight million, six hundred seventy thousand, eighty".