233760960 has 168 divisors, whose sum is σ = 839236320. Its totient is φ = 59609088.

The previous prime is 233760949. The next prime is 233760977. The reversal of 233760960 is 69067332.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64476 + ... + 68004.

Almost surely, 2^233760960 is an apocalyptic number.

233760960 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 233760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419618160).

233760960 is an abundant number, since it is smaller than the sum of its proper divisors (605475360).

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

233760960 is a wasteful number, since it uses less digits than its factorization.

233760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 233760960 is about 15289.2432775465. The cubic root of 233760960 is about 616.0141111064.

The spelling of 233760960 in words is "two hundred thirty-three million, seven hundred sixty thousand, nine hundred sixty".