233087120 has 120 divisors (see below), whose sum is σ = 637943544. Its totient is φ = 78962688.

The previous prime is 233087089. The next prime is 233087149. The reversal of 233087120 is 21780332.

233087120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1073296 + 232013824 = 1036^2 + 15232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 233087120.

It is an unprimeable number.

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, 379934 + ... + 380546.

Almost surely, 2^233087120 is an apocalyptic number.

233087120 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 233087120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318971772).

233087120 is an abundant number, since it is smaller than the sum of its proper divisors (404856424).

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

233087120 is a wasteful number, since it uses less digits than its factorization.

233087120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 233087120 is about 15267.1909662518. The cubic root of 233087120 is about 615.4216334462.

The spelling of 233087120 in words is "two hundred thirty-three million, eighty-seven thousand, one hundred twenty".