8233264 has 40 divisors (see below), whose sum is σ = 17936352. Its totient is φ = 3632640.

The previous prime is 8233261. The next prime is 8233279. The reversal of 8233264 is 4623328.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8233261) 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 7 ways as a sum of consecutive naturals, for example, 3924 + ... + 5644.

Almost surely, 2^8233264 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 8233264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8968176).

8233264 is an abundant number, since it is smaller than the sum of its proper divisors (9703088).

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

8233264 is a wasteful number, since it uses less digits than its factorization.

8233264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1759 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 8233264 is about 2869.3664806016. The cubic root of 8233264 is about 201.9252738009.

The spelling of 8233264 in words is "eight million, two hundred thirty-three thousand, two hundred sixty-four".