8166288 has 80 divisors (see below), whose sum is σ = 23748480. Its totient is φ = 2399232.

The previous prime is 8166283. The next prime is 8166289. The reversal of 8166288 is 8826618.

8166288 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8166283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14068 + ... + 14636.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^8166288 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 8166288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

8166288 is an abundant number, since it is smaller than the sum of its proper divisors (15582192).

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

8166288 is a wasteful number, since it uses less digits than its factorization.

8166288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 8166288 is about 2857.6717796136. The cubic root of 8166288 is about 201.3762414091.

The spelling of 8166288 in words is "eight million, one hundred sixty-six thousand, two hundred eighty-eight".