233763840 has 352 divisors, whose sum is σ = 884304000. Its totient is φ = 58392576.

The previous prime is 233763823. The next prime is 233763847. The reversal of 233763840 is 48367332.

233763840 is digitally balanced in base 2 and base 3, because in such bases 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 233763795 and 233763804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233763847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2626516 + ... + 2626604.

Almost surely, 2^233763840 is an apocalyptic number.

233763840 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 233763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442152000).

233763840 is an abundant number, since it is smaller than the sum of its proper divisors (650540160).

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

233763840 is a wasteful number, since it uses less digits than its factorization.

233763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 233763840 is about 15289.3374611198. The cubic root of 233763840 is about 616.0166409177.

The spelling of 233763840 in words is "two hundred thirty-three million, seven hundred sixty-three thousand, eight hundred forty".