288085680 has 160 divisors (see below), whose sum is σ = 1016809920. Its totient is φ = 74926080.

The previous prime is 288085673. The next prime is 288085691. The reversal of 288085680 is 86580882.

288085680 is a `hidden beast` number, since 2 + 8 + 80 + 8 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86934 + ... + 90186.

It is an arithmetic number, because the mean of its divisors is an integer number (6355062).

Almost surely, 2^288085680 is an apocalyptic number.

288085680 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 288085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508404960).

288085680 is an abundant number, since it is smaller than the sum of its proper divisors (728724240).

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

288085680 is a wasteful number, since it uses less digits than its factorization.

288085680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 288085680 is about 16973.0869319638. The cubic root of 288085680 is about 660.4509315095.

The spelling of 288085680 in words is "two hundred eighty-eight million, eighty-five thousand, six hundred eighty".