284661216 has 240 divisors, whose sum is σ = 991599840. Its totient is φ = 78382080.

The previous prime is 284661193. The next prime is 284661233. The reversal of 284661216 is 612166482.

284661216 is a `hidden beast` number, since 28 + 4 + 6 + 612 + 16 = 666.

284661216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 525906 + ... + 526446.

It is an arithmetic number, because the mean of its divisors is an integer number (4131666).

Almost surely, 2^284661216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284661216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495799920).

284661216 is an abundant number, since it is smaller than the sum of its proper divisors (706938624).

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

284661216 is a wasteful number, since it uses less digits than its factorization.

284661216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 582 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 284661216 is about 16871.9061163818. The cubic root of 284661216 is about 657.8235746798.

The spelling of 284661216 in words is "two hundred eighty-four million, six hundred sixty-one thousand, two hundred sixteen".