233904960 has 168 divisors, whose sum is σ = 810271176. Its totient is φ = 61931520.

The previous prime is 233904949. The next prime is 233904967. The reversal of 233904960 is 69409332.

It is a happy number.

233904960 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 25160256 + 208744704 = 5016^2 + 14448^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233904967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693912 + ... + 694248.

Almost surely, 2^233904960 is an apocalyptic number.

233904960 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 233904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405135588).

233904960 is an abundant number, since it is smaller than the sum of its proper divisors (576366216).

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

233904960 is a wasteful number, since it uses less digits than its factorization.

233904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 233904960 is about 15293.9517457065. The cubic root of 233904960 is about 616.1405762264.

The spelling of 233904960 in words is "two hundred thirty-three million, nine hundred four thousand, nine hundred sixty".