840006208 has 42 divisors (see below), whose sum is σ = 1686844226. Its totient is φ = 415033344.

The previous prime is 840006203. The next prime is 840006217. The reversal of 840006208 is 802600048.

It can be written as a sum of positive squares in 3 ways, for example, as 861184 + 839145024 = 928^2 + 28968^2 .

It is a super-2 number, since 2×840006208² = 1411220858957078528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (840006203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 506116 + ... + 507772.

Almost surely, 2^840006208 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 840006208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843422113).

840006208 is an abundant number, since it is smaller than the sum of its proper divisors (846838018).

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

840006208 is an equidigital number, since it uses as much as digits as its factorization.

840006208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 840006208 is about 28982.8605903558. The cubic root of 840006208 is about 943.5411204579.

The spelling of 840006208 in words is "eight hundred forty million, six thousand, two hundred eight".