233840880 has 480 divisors, whose sum is σ = 1000935936. Its totient is φ = 47609856.

The previous prime is 233840879. The next prime is 233840911. The reversal of 233840880 is 88048332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2817319 + ... + 2817401.

Almost surely, 2^233840880 is an apocalyptic number.

233840880 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 233840880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500467968).

233840880 is an abundant number, since it is smaller than the sum of its proper divisors (767095056).

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

233840880 is a wasteful number, since it uses less digits than its factorization.

233840880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 233840880 is about 15291.8566564038. The cubic root of 233840880 is about 616.0843056594.

The spelling of 233840880 in words is "two hundred thirty-three million, eight hundred forty thousand, eight hundred eighty".