284616 has 48 divisors (see below), whose sum is σ = 795600. Its totient is φ = 91872.

The previous prime is 284593. The next prime is 284623. The reversal of 284616 is 616482.

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

It is a self number, because there is not a number n which added to its sum of digits gives 284616.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284616.

It is an unprimeable number.

284616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4215 + ... + 4281.

It is an arithmetic number, because the mean of its divisors is an integer number (16575).

2²⁸⁴⁶¹⁶ 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 284616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397800).

284616 is an abundant number, since it is smaller than the sum of its proper divisors (510984).

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

284616 is a wasteful number, since it uses less digits than its factorization.

284616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 284616 is about 533.4941424233. The cubic root of 284616 is about 65.7788742952.

It can be divided in two parts, 284 and 616, that added together give a square (900 = 30²).

The spelling of 284616 in words is "two hundred eighty-four thousand, six hundred sixteen".