284025680 has 40 divisors (see below), whose sum is σ = 695119200. Its totient is φ = 107630208.

The previous prime is 284025673. The next prime is 284025683. The reversal of 284025680 is 86520482.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 284025680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284025683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91910 + ... + 94949.

It is an arithmetic number, because the mean of its divisors is an integer number (17377980).

Almost surely, 2^284025680 is an apocalyptic number.

284025680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284025680 is an abundant number, since it is smaller than the sum of its proper divisors (411093520).

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

284025680 is a wasteful number, since it uses less digits than its factorization.

284025680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186891 (or 186885 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 284025680 is about 16853.0614429545. The cubic root of 284025680 is about 657.3336565419. Note that the first 3 decimals are identical.

The spelling of 284025680 in words is "two hundred eighty-four million, twenty-five thousand, six hundred eighty".