816284196 has 144 divisors (see below), whose sum is σ = 2619388800. Its totient is φ = 215250048.

The previous prime is 816284173. The next prime is 816284207. The reversal of 816284196 is 691482618.

816284196 is a `hidden beast` number, since 8 + 1 + 628 + 4 + 19 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124570 + ... + 130958.

It is an arithmetic number, because the mean of its divisors is an integer number (18190200).

Almost surely, 2^816284196 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 816284196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309694400).

816284196 is an abundant number, since it is smaller than the sum of its proper divisors (1803104604).

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

816284196 is a wasteful number, since it uses less digits than its factorization.

816284196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6414 counting only the distinct ones).

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

The square root of 816284196 is about 28570.6877061089. The cubic root of 816284196 is about 934.5742181392.

The spelling of 816284196 in words is "eight hundred sixteen million, two hundred eighty-four thousand, one hundred ninety-six".