8611328 has 60 divisors (see below), whose sum is σ = 19048260. Its totient is φ = 3886080.

The previous prime is 8611321. The next prime is 8611331. The reversal of 8611328 is 8231168.

It is a self number, because there is not a number n which added to its sum of digits gives 8611328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8611321) 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 5 ways as a sum of consecutive naturals, for example, 61883 + ... + 62021.

It is an arithmetic number, because the mean of its divisors is an integer number (317471).

Almost surely, 2^8611328 is an apocalyptic number.

8611328 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 8611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9524130).

8611328 is an abundant number, since it is smaller than the sum of its proper divisors (10436932).

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

8611328 is a wasteful number, since it uses less digits than its factorization.

8611328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 8611328 is about 2934.5064320938. The cubic root of 8611328 is about 204.9698785805.

The spelling of 8611328 in words is "eight million, six hundred eleven thousand, three hundred twenty-eight".