284116896 has 180 divisors, whose sum is σ = 972435618. Its totient is φ = 81139968.

The previous prime is 284116879. The next prime is 284116897. The reversal of 284116896 is 698611482.

It can be written as a sum of positive squares in only one way, i.e., 206324496 + 77792400 = 14364^2 + 8820^2 .

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

It is not an unprimeable number, because it can be changed into a prime (284116897) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 125890 + ... + 128126.

Almost surely, 2^284116896 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 284116896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486217809).

284116896 is an abundant number, since it is smaller than the sum of its proper divisors (688318722).

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

284116896 is a wasteful number, since it uses less digits than its factorization.

284116896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2249 counting only the distinct ones).

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

The square root of 284116896 is about 16855.7674402562. The cubic root of 284116896 is about 657.4040174675.

The spelling of 284116896 in words is "two hundred eighty-four million, one hundred sixteen thousand, eight hundred ninety-six".