284968 has 16 divisors (see below), whose sum is σ = 540000. Its totient is φ = 140976.

The previous prime is 284957. The next prime is 284969. The reversal of 284968 is 869482.

It is a super-2 number, since 2×284968² = 162413522048, which contains 22 as substring.

It is an Ulam number.

Its product of digits (27648) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (284969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1333 + ... + 1531.

It is an arithmetic number, because the mean of its divisors is an integer number (33750).

2²⁸⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

284968 is a deficient number, since it is larger than the sum of its proper divisors (255032).

284968 is a wasteful number, since it uses less digits than its factorization.

284968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 284968 is about 533.8239410143. The cubic root of 284968 is about 65.8059805541.

The spelling of 284968 in words is "two hundred eighty-four thousand, nine hundred sixty-eight".