284720 has 20 divisors (see below), whose sum is σ = 662160. Its totient is φ = 113856.

The previous prime is 284707. The next prime is 284723. The reversal of 284720 is 27482.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284720.

It is not an unprimeable number, because it can be changed into a prime (284723) by changing a digit.

284720 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 3 ways as a sum of consecutive naturals, for example, 1700 + ... + 1859.

It is an arithmetic number, because the mean of its divisors is an integer number (33108).

2²⁸⁴⁷²⁰ is an apocalyptic number.

284720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284720 is an abundant number, since it is smaller than the sum of its proper divisors (377440).

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

284720 is a wasteful number, since it uses less digits than its factorization.

284720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 284720 is about 533.5916041318. The cubic root of 284720 is about 65.7868852876.

It can be divided in two parts, 284 and 720, that multiplied together give a triangular number (204480 = T₆₃₉).

The spelling of 284720 in words is "two hundred eighty-four thousand, seven hundred twenty".