8233664 has 28 divisors (see below), whose sum is σ = 16483584. Its totient is φ = 4080384.

The previous prime is 8233663. The next prime is 8233679. The reversal of 8233664 is 4663328.

8233664 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (20736) is a multiple of the sum of its prime factors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 8233664.

It is not an unprimeable number, because it can be changed into a prime (8233663) 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 3 ways as a sum of consecutive naturals, for example, 7622 + ... + 8634.

Almost surely, 2^8233664 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 8233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241792).

8233664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

8233664 is a wasteful number, since it uses less digits than its factorization.

8233664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1142 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 8233664 is about 2869.4361815520. The cubic root of 8233664 is about 201.9285438204.

The spelling of 8233664 in words is "eight million, two hundred thirty-three thousand, six hundred sixty-four".