233640960 has 352 divisors, whose sum is σ = 891378432. Its totient is φ = 51118080.

The previous prime is 233640959. The next prime is 233640961. The reversal of 233640960 is 69046332.

It is an interprime number because it is at equal distance from previous prime (233640959) and next prime (233640961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233640961) 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 31 ways as a sum of consecutive naturals, for example, 4408294 + ... + 4408346.

Almost surely, 2^233640960 is an apocalyptic number.

233640960 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 233640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445689216).

233640960 is an abundant number, since it is smaller than the sum of its proper divisors (657737472).

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

233640960 is a wasteful number, since it uses less digits than its factorization.

233640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 233640960 is about 15285.3184461430. The cubic root of 233640960 is about 615.9086838272.

The spelling of 233640960 in words is "two hundred thirty-three million, six hundred forty thousand, nine hundred sixty".