233026640 has 240 divisors, whose sum is σ = 720370560. Its totient is φ = 68428800.

The previous prime is 233026627. The next prime is 233026663. The reversal of 233026640 is 46620332.

233026640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1287350 + ... + 1287530.

It is an arithmetic number, because the mean of its divisors is an integer number (3001544).

Almost surely, 2^233026640 is an apocalyptic number.

233026640 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 233026640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360185280).

233026640 is an abundant number, since it is smaller than the sum of its proper divisors (487343920).

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

233026640 is a wasteful number, since it uses less digits than its factorization.

233026640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 233026640 is about 15265.2101197461. The cubic root of 233026640 is about 615.3684002458.

Adding to 233026640 its reverse (46620332), we get a palindrome (279646972).

The spelling of 233026640 in words is "two hundred thirty-three million, twenty-six thousand, six hundred forty".