285117966 has 144 divisors (see below), whose sum is σ = 758665440. Its totient is φ = 77051520.

The previous prime is 285117953. The next prime is 285118063. The reversal of 285117966 is 669711582.

285117966 is a `hidden beast` number, since 2 + 8 + 511 + 79 + 66 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1815960 + ... + 1816116.

It is an arithmetic number, because the mean of its divisors is an integer number (5268510).

Almost surely, 2^285117966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285117966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379332720).

285117966 is an abundant number, since it is smaller than the sum of its proper divisors (473547474).

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

285117966 is a wasteful number, since it uses less digits than its factorization.

285117966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 285117966 is about 16885.4365060546. The cubic root of 285117966 is about 658.1752211793.

The spelling of 285117966 in words is "two hundred eighty-five million, one hundred seventeen thousand, nine hundred sixty-six".