233590940 has 192 divisors, whose sum is σ = 609638400. Its totient is φ = 74188800.

The previous prime is 233590933. The next prime is 233590957. The reversal of 233590940 is 49095332.

233590940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233590940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4969997 + ... + 4970043.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^233590940 is an apocalyptic number.

233590940 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 233590940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

233590940 is an abundant number, since it is smaller than the sum of its proper divisors (376047460).

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

233590940 is a wasteful number, since it uses less digits than its factorization.

233590940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 233590940 is about 15283.6821479642. The cubic root of 233590940 is about 615.8647275631.

The spelling of 233590940 in words is "two hundred thirty-three million, five hundred ninety thousand, nine hundred forty".