284064 has 48 divisors (see below), whose sum is σ = 816480. Its totient is φ = 85760.

The previous prime is 284059. The next prime is 284083. The reversal of 284064 is 460482.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2³ + 8 + 0 + 4² + 6⁷ + 4⁶ .

It is a congruent number.

It is an unprimeable number.

284064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 922 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2²⁸⁴⁰⁶⁴ is an apocalyptic number.

284064 is a gapful number since it is divisible by the number (24) 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 284064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240).

284064 is an abundant number, since it is smaller than the sum of its proper divisors (532416).

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

284064 is a wasteful number, since it uses less digits than its factorization.

284064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 284064 is about 532.9765473264. The cubic root of 284064 is about 65.7363217124.

The spelling of 284064 in words is "two hundred eighty-four thousand, sixty-four".