284648 has 64 divisors (see below), whose sum is σ = 725760. Its totient is φ = 101376.

The previous prime is 284633. The next prime is 284651. The reversal of 284648 is 846482.

It is a d-powerful number, because it can be written as 2⁵ + 8 + 6⁷ + 4³ + 4⁶ + 8³ .

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284648.

It is an unprimeable number.

284648 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 15 ways as a sum of consecutive naturals, for example, 12365 + ... + 12387.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²⁸⁴⁶⁴⁸ is an apocalyptic number.

284648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

284648 is an abundant number, since it is smaller than the sum of its proper divisors (441112).

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

284648 is a wasteful number, since it uses less digits than its factorization.

284648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 62 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 284648 is about 533.5241325376. The cubic root of 284648 is about 65.7813394238.

The spelling of 284648 in words is "two hundred eighty-four thousand, six hundred forty-eight".