284106680 has 64 divisors (see below), whose sum is σ = 751010400. Its totient is φ = 95362560.

The previous prime is 284106611. The next prime is 284106689. The reversal of 284106680 is 86601482.

284106680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 284106680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284106689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19115 + ... + 30554.

Almost surely, 2^284106680 is an apocalyptic number.

284106680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284106680 is an abundant number, since it is smaller than the sum of its proper divisors (466903720).

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

284106680 is a wasteful number, since it uses less digits than its factorization.

284106680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49704 (or 49700 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 284106680 is about 16855.4643958569. The cubic root of 284106680 is about 657.3961379409.

The spelling of 284106680 in words is "two hundred eighty-four million, one hundred six thousand, six hundred eighty".