284860896 has 96 divisors (see below), whose sum is σ = 771902208. Its totient is φ = 91929600.

The previous prime is 284860889. The next prime is 284860903. The reversal of 284860896 is 698068482.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (284860889) and next prime (284860903).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×284860896² = 162291460139845632, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 623100 + ... + 623556.

It is an arithmetic number, because the mean of its divisors is an integer number (8040648).

Almost surely, 2^284860896 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 284860896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385951104).

284860896 is an abundant number, since it is smaller than the sum of its proper divisors (487041312).

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

284860896 is a wasteful number, since it uses less digits than its factorization.

284860896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 284860896 is about 16877.8226083817. The cubic root of 284860896 is about 657.9773522260.

The spelling of 284860896 in words is "two hundred eighty-four million, eight hundred sixty thousand, eight hundred ninety-six".