233832690 has 256 divisors, whose sum is σ = 794787840. Its totient is φ = 47589120.

The previous prime is 233832679. The next prime is 233832707. The reversal of 233832690 is 96238332.

It is a super-2 number, since 2×233832690² = 109355453825272200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 761517 + ... + 761823.

It is an arithmetic number, because the mean of its divisors is an integer number (3104640).

Almost surely, 2^233832690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233832690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397393920).

233832690 is an abundant number, since it is smaller than the sum of its proper divisors (560955150).

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

233832690 is a wasteful number, since it uses less digits than its factorization.

233832690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 233832690 is about 15291.5888644706. The cubic root of 233832690 is about 616.0771130342.

The spelling of 233832690 in words is "two hundred thirty-three million, eight hundred thirty-two thousand, six hundred ninety".