233696960 has 252 divisors, whose sum is σ = 713030832. Its totient is φ = 71442432.

The previous prime is 233696933. The next prime is 233696971. The reversal of 233696960 is 69696332.

It is a super-2 number, since 2×233696960² = 109228538226483200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12299831 + ... + 12299849.

Almost surely, 2^233696960 is an apocalyptic number.

233696960 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 233696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356515416).

233696960 is an abundant number, since it is smaller than the sum of its proper divisors (479333872).

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

233696960 is a wasteful number, since it uses less digits than its factorization.

233696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 44.

The square root of 233696960 is about 15287.1501595294. The cubic root of 233696960 is about 615.9578877154.

The spelling of 233696960 in words is "two hundred thirty-three million, six hundred ninety-six thousand, nine hundred sixty".