8412288 has 64 divisors (see below), whose sum is σ = 23541600. Its totient is φ = 2654208.

The previous prime is 8412281. The next prime is 8412289. The reversal of 8412288 is 8822148.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (8412281) 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, 6720 + ... + 7872.

Almost surely, 2^8412288 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 8412288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11770800).

8412288 is an abundant number, since it is smaller than the sum of its proper divisors (15129312).

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

8412288 is a wasteful number, since it uses less digits than its factorization.

8412288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1177 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 8412288 is about 2900.3944559318. The cubic root of 8412288 is about 203.3783459127.

The spelling of 8412288 in words is "eight million, four hundred twelve thousand, two hundred eighty-eight".