8208288 has 72 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 2486400.

The previous prime is 8208287. The next prime is 8208311. The reversal of 8208288 is 8828028.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8208281) 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, 1873 + ... + 4463.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 2^8208288 is an apocalyptic number.

8208288 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 8208288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

8208288 is an abundant number, since it is smaller than the sum of its proper divisors (17265888).

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

8208288 is a wasteful number, since it uses less digits than its factorization.

8208288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8208288 is about 2865.0109947433. The cubic root of 8208288 is about 201.7208836613.

It can be divided in two parts, 820828 and 8, that added together give a square (820836 = 906²).

The spelling of 8208288 in words is "eight million, two hundred eight thousand, two hundred eighty-eight".