233968540 has 48 divisors (see below), whose sum is σ = 535127040. Its totient is φ = 85409280.

The previous prime is 233968531. The next prime is 233968589. The reversal of 233968540 is 45869332.

It is a junction number, because it is equal to n+sod(n) for n = 233968493 and 233968502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18085 + ... + 28195.

It is an arithmetic number, because the mean of its divisors is an integer number (11148480).

Almost surely, 2^233968540 is an apocalyptic number.

233968540 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 233968540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267563520).

233968540 is an abundant number, since it is smaller than the sum of its proper divisors (301158500).

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

233968540 is a wasteful number, since it uses less digits than its factorization.

233968540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222 (or 10220 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 233968540 is about 15296.0302039451. The cubic root of 233968540 is about 616.1963975721.

The spelling of 233968540 in words is "two hundred thirty-three million, nine hundred sixty-eight thousand, five hundred forty".