233076960 has 192 divisors, whose sum is σ = 823253760. Its totient is φ = 61585920.

The previous prime is 233076947. The next prime is 233076997. The reversal of 233076960 is 69670332.

233076960 is digitally balanced in base 2, because in such base 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703995 + ... + 704325.

It is an arithmetic number, because the mean of its divisors is an integer number (4287780).

Almost surely, 2^233076960 is an apocalyptic number.

233076960 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 233076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411626880).

233076960 is an abundant number, since it is smaller than the sum of its proper divisors (590176800).

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

233076960 is a wasteful number, since it uses less digits than its factorization.

233076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 504 counting only the distinct ones).

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

The square root of 233076960 is about 15266.8582229613. The cubic root of 233076960 is about 615.4126914755.

The spelling of 233076960 in words is "two hundred thirty-three million, seventy-six thousand, nine hundred sixty".