8090208 has 72 divisors (see below), whose sum is σ = 26299728. Its totient is φ = 2310912.

The previous prime is 8090197. The next prime is 8090209. The reversal of 8090208 is 8020908.

8090208 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8090209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10 + ... + 4022.

It is an arithmetic number, because the mean of its divisors is an integer number (365274).

Almost surely, 2^8090208 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 8090208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13149864).

8090208 is an abundant number, since it is smaller than the sum of its proper divisors (18209520).

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

8090208 is a wasteful number, since it uses less digits than its factorization.

8090208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8090208 is about 2844.3290948834. The cubic root of 8090208 is about 200.7489253866.

The spelling of 8090208 in words is "eight million, ninety thousand, two hundred eight".