288861066 has 80 divisors (see below), whose sum is σ = 733840800. Its totient is φ = 84190752.

The previous prime is 288861049. The next prime is 288861101. The reversal of 288861066 is 660168882.

288861066 is a `hidden beast` number, since 28 + 8 + 8 + 610 + 6 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36405 + ... + 43623.

It is an arithmetic number, because the mean of its divisors is an integer number (9173010).

Almost surely, 2^288861066 is an apocalyptic number.

288861066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 288861066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366920400).

288861066 is an abundant number, since it is smaller than the sum of its proper divisors (444979734).

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

288861066 is a wasteful number, since it uses less digits than its factorization.

288861066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265 (or 7256 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 288861066 is about 16995.9132146525. The cubic root of 288861066 is about 661.0429378491.

The spelling of 288861066 in words is "two hundred eighty-eight million, eight hundred sixty-one thousand, sixty-six".