8211284840 has 64 divisors (see below), whose sum is σ = 20646601920. Its totient is φ = 2913088000.

The previous prime is 8211284839. The next prime is 8211284863. The reversal of 8211284840 is 484821128.

It is a super-2 number, since 2×8211284840² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8211284794 and 8211284803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209546 + ... + 245625.

It is an arithmetic number, because the mean of its divisors is an integer number (322603155).

Almost surely, 2^8211284840 is an apocalyptic number.

It is an amenable number.

8211284840 is an abundant number, since it is smaller than the sum of its proper divisors (12435317080).

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

8211284840 is a wasteful number, since it uses less digits than its factorization.

8211284840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455234 (or 455230 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 38.

The square root of 8211284840 is about 90616.1400634567. The cubic root of 8211284840 is about 2017.4543005709.

The spelling of 8211284840 in words is "eight billion, two hundred eleven million, two hundred eighty-four thousand, eight hundred forty".