233680920 has 256 divisors, whose sum is σ = 821145600. Its totient is φ = 52631040.

The previous prime is 233680907. The next prime is 233680921. The reversal of 233680920 is 29086332.

233680920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233680921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1305391 + ... + 1305569.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 2^233680920 is an apocalyptic number.

233680920 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 233680920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410572800).

233680920 is an abundant number, since it is smaller than the sum of its proper divisors (587464680).

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

233680920 is a wasteful number, since it uses less digits than its factorization.

233680920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 233680920 is about 15286.6255269108. The cubic root of 233680920 is about 615.9437951193.

The spelling of 233680920 in words is "two hundred thirty-three million, six hundred eighty thousand, nine hundred twenty".