284861136 has 80 divisors (see below), whose sum is σ = 843200000. Its totient is φ = 81177984.

The previous prime is 284861119. The next prime is 284861149. The reversal of 284861136 is 631168482.

It is a super-2 number, since 2×284861136² = 162291733606420992, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 284861094 and 284861103.

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, 166815 + ... + 168513.

It is an arithmetic number, because the mean of its divisors is an integer number (10540000).

Almost surely, 2^284861136 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 284861136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421600000).

284861136 is an abundant number, since it is smaller than the sum of its proper divisors (558338864).

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

284861136 is a wasteful number, since it uses less digits than its factorization.

284861136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2210 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 284861136 is about 16877.8297183021. The cubic root of 284861136 is about 657.9775370115.

The spelling of 284861136 in words is "two hundred eighty-four million, eight hundred sixty-one thousand, one hundred thirty-six".