233684880 has 240 divisors, whose sum is σ = 858903360. Its totient is φ = 52208640.

The previous prime is 233684863. The next prime is 233684887. The reversal of 233684880 is 88486332.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×233684880² = 109217246281228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233684887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377211 + ... + 377829.

It is an arithmetic number, because the mean of its divisors is an integer number (3578764).

Almost surely, 2^233684880 is an apocalyptic number.

233684880 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 233684880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429451680).

233684880 is an abundant number, since it is smaller than the sum of its proper divisors (625218480).

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

233684880 is a wasteful number, since it uses less digits than its factorization.

233684880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 233684880 is about 15286.7550513508. The cubic root of 233684880 is about 615.9472743987.

The spelling of 233684880 in words is "two hundred thirty-three million, six hundred eighty-four thousand, eight hundred eighty".