284676966 has 72 divisors (see below), whose sum is σ = 720358704. Its totient is φ = 81249840.

The previous prime is 284676961. The next prime is 284676967. The reversal of 284676966 is 669676482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284676961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 302056 + ... + 302996.

It is an arithmetic number, because the mean of its divisors is an integer number (10004982).

Almost surely, 2^284676966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284676966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360179352).

284676966 is an abundant number, since it is smaller than the sum of its proper divisors (435681738).

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

284676966 is an frugal number, since it uses more digits than its factorization.

284676966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 953 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 284676966 is about 16872.3728621673. The cubic root of 284676966 is about 657.8357066805.

The spelling of 284676966 in words is "two hundred eighty-four million, six hundred seventy-six thousand, nine hundred sixty-six".