8964288 has 84 divisors (see below), whose sum is σ = 26151840. Its totient is φ = 2935296.

The previous prime is 8964259. The next prime is 8964289. The reversal of 8964288 is 8824698.

It is a happy number.

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 (8964289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45406 + ... + 45602.

Almost surely, 2^8964288 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 8964288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13075920).

8964288 is an abundant number, since it is smaller than the sum of its proper divisors (17187552).

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

8964288 is a wasteful number, since it uses less digits than its factorization.

8964288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 8964288 is about 2994.0420838726. The cubic root of 8964288 is about 207.7328918475.

It can be divided in two parts, 896 and 4288, that added together give a square (5184 = 72²).

The spelling of 8964288 in words is "eight million, nine hundred sixty-four thousand, two hundred eighty-eight".