8889264 has 100 divisors (see below), whose sum is σ = 27157240. Its totient is φ = 2807136.

The previous prime is 8889263. The next prime is 8889301. The reversal of 8889264 is 4629888.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

Its product of digits (221184) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (8889263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 467847 + ... + 467865.

Almost surely, 2^8889264 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 8889264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578620).

8889264 is an abundant number, since it is smaller than the sum of its proper divisors (18267976).

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

8889264 is an equidigital number, since it uses as much as digits as its factorization.

8889264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 24 counting only the distinct ones).

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

The square root of 8889264 is about 2981.4868773818. The cubic root of 8889264 is about 207.1517475829.

The spelling of 8889264 in words is "eight million, eight hundred eighty-nine thousand, two hundred sixty-four".