8211808 has 48 divisors (see below), whose sum is σ = 18098640. Its totient is φ = 3635200.

The previous prime is 8211803. The next prime is 8211809. The reversal of 8211808 is 8081128.

8211808 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8211803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14148 + ... + 14716.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 2^8211808 is an apocalyptic number.

8211808 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8211808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049320).

8211808 is an abundant number, since it is smaller than the sum of its proper divisors (9886832).

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

8211808 is a wasteful number, since it uses less digits than its factorization.

8211808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 8211808 is about 2865.6252371865. The cubic root of 8211808 is about 201.7497145225.

It can be divided in two parts, 82 and 11808, that multiplied together give a square (968256 = 984²).

The spelling of 8211808 in words is "eight million, two hundred eleven thousand, eight hundred eight".