284314068 has 36 divisors (see below), whose sum is σ = 738110100. Its totient is φ = 92209536.

The previous prime is 284314067. The next prime is 284314099. The reversal of 284314068 is 860413482.

284314068 is a `hidden beast` number, since 284 + 314 + 0 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 265755204 + 18558864 = 16302^2 + 4308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284314061) 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 11 ways as a sum of consecutive naturals, for example, 105393 + ... + 108056.

Almost surely, 2^284314068 is an apocalyptic number.

It is an amenable number.

284314068 is an abundant number, since it is smaller than the sum of its proper divisors (453796032).

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

284314068 is a wasteful number, since it uses less digits than its factorization.

284314068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213496 (or 213491 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 284314068 is about 16861.6152251200. The cubic root of 284314068 is about 657.5560578111.

The spelling of 284314068 in words is "two hundred eighty-four million, three hundred fourteen thousand, sixty-eight".