284611968 has 160 divisors (see below), whose sum is σ = 858756360. Its totient is φ = 93560832.

The previous prime is 284611907. The next prime is 284611973. The reversal of 284611968 is 869116482.

284611968 is a `hidden beast` number, since 28 + 4 + 611 + 9 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1005555 + ... + 1005837.

Almost surely, 2^284611968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429378180).

284611968 is an abundant number, since it is smaller than the sum of its proper divisors (574144392).

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

284611968 is an equidigital number, since it uses as much as digits as its factorization.

284611968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 385 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 284611968 is about 16870.4465856716. The cubic root of 284611968 is about 657.7856367592.

The spelling of 284611968 in words is "two hundred eighty-four million, six hundred eleven thousand, nine hundred sixty-eight".