288066240 has 448 divisors, whose sum is σ = 1269918720. Its totient is φ = 59719680.

The previous prime is 288066223. The next prime is 288066281. The reversal of 288066240 is 42660882.

288066240 is a `hidden beast` number, since 28 + 8 + 0 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 288066195 and 288066204.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 665064 + ... + 665496.

It is an arithmetic number, because the mean of its divisors is an integer number (2834640).

Almost surely, 2^288066240 is an apocalyptic number.

288066240 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 288066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634959360).

288066240 is an abundant number, since it is smaller than the sum of its proper divisors (981852480).

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

288066240 is a wasteful number, since it uses less digits than its factorization.

288066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 288066240 is about 16972.5142509883. The cubic root of 288066240 is about 660.4360754490.

The spelling of 288066240 in words is "two hundred eighty-eight million, sixty-six thousand, two hundred forty".