233085888 has 84 divisors (see below), whose sum is σ = 763554480. Its totient is φ = 66594816.

The previous prime is 233085871. The next prime is 233085889. The reversal of 233085888 is 888580332.

233085888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233085889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24873 + ... + 32936.

Almost surely, 2^233085888 is an apocalyptic number.

233085888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

233085888 is an abundant number, since it is smaller than the sum of its proper divisors (530468592).

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

233085888 is a wasteful number, since it uses less digits than its factorization.

233085888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57834 (or 57821 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 233085888 is about 15267.1506182391. The cubic root of 233085888 is about 615.4205491581.

The spelling of 233085888 in words is "two hundred thirty-three million, eighty-five thousand, eight hundred eighty-eight".