284805680 has 80 divisors (see below), whose sum is σ = 700455168. Its totient is φ = 107520000.

The previous prime is 284805673. The next prime is 284805683. The reversal of 284805680 is 86508482.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×284805680³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (284805683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100280 + ... + 103080.

Almost surely, 2^284805680 is an apocalyptic number.

284805680 is a gapful number since it is divisible by the number (20) 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 284805680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350227584).

284805680 is an abundant number, since it is smaller than the sum of its proper divisors (415649488).

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

284805680 is a wasteful number, since it uses less digits than its factorization.

284805680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 284805680 is about 16876.1867730835. The cubic root of 284805680 is about 657.9348364746.

The spelling of 284805680 in words is "two hundred eighty-four million, eight hundred five thousand, six hundred eighty".