233325648 has 120 divisors (see below), whose sum is σ = 687679200. Its totient is φ = 73742592.

The previous prime is 233325647. The next prime is 233325679. The reversal of 233325648 is 846523332.

It is a happy number.

233325648 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 2 + 5 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233325647) 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 23 ways as a sum of consecutive naturals, for example, 245911 + ... + 246857.

It is an arithmetic number, because the mean of its divisors is an integer number (5730660).

Almost surely, 2^233325648 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 233325648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343839600).

233325648 is an abundant number, since it is smaller than the sum of its proper divisors (454353552).

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

233325648 is a wasteful number, since it uses less digits than its factorization.

233325648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1040 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 233325648 is about 15275.0007528641. Note that the first 3 decimals coincide. The cubic root of 233325648 is about 615.6314909534.

The spelling of 233325648 in words is "two hundred thirty-three million, three hundred twenty-five thousand, six hundred forty-eight".