233325680 has 80 divisors (see below), whose sum is σ = 656475840. Its totient is φ = 75288576.

The previous prime is 233325679. The next prime is 233325683. The reversal of 233325680 is 86523332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233325683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2735 + ... + 21774.

It is an arithmetic number, because the mean of its divisors is an integer number (8205948).

Almost surely, 2^233325680 is an apocalyptic number.

233325680 is a gapful number since it is divisible by the number (20) 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 233325680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328237920).

233325680 is an abundant number, since it is smaller than the sum of its proper divisors (423150160).

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

233325680 is a wasteful number, since it uses less digits than its factorization.

233325680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24546 (or 24540 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 233325680 is about 15275.0018003272. The cubic root of 233325680 is about 615.6315190975.

The spelling of 233325680 in words is "two hundred thirty-three million, three hundred twenty-five thousand, six hundred eighty".