233630880 has 192 divisors, whose sum is σ = 868589568. Its totient is φ = 51655680.

The previous prime is 233630867. The next prime is 233630893. The reversal of 233630880 is 88036332.

It is an interprime number because it is at equal distance from previous prime (233630867) and next prime (233630893).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103039 + ... + 105281.

It is an arithmetic number, because the mean of its divisors is an integer number (4523904).

Almost surely, 2^233630880 is an apocalyptic number.

233630880 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 233630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434294784).

233630880 is an abundant number, since it is smaller than the sum of its proper divisors (634958688).

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

233630880 is a wasteful number, since it uses less digits than its factorization.

233630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 233630880 is about 15284.9887144217. The cubic root of 233630880 is about 615.8998262923.

The spelling of 233630880 in words is "two hundred thirty-three million, six hundred thirty thousand, eight hundred eighty".