232738560 has 216 divisors, whose sum is σ = 817886160. Its totient is φ = 61095936.

The previous prime is 232738559. The next prime is 232738573. The reversal of 232738560 is 65837232.

232738560 is a `hidden beast` number, since 23 + 2 + 73 + 8 + 560 = 666.

232738560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1025167 + ... + 1025393.

It is an arithmetic number, because the mean of its divisors is an integer number (3786510).

Almost surely, 2^232738560 is an apocalyptic number.

232738560 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 232738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408943080).

232738560 is an abundant number, since it is smaller than the sum of its proper divisors (585147600).

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

232738560 is a wasteful number, since it uses less digits than its factorization.

232738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 232738560 is about 15255.7713669286. The cubic root of 232738560 is about 615.1147118959.

The spelling of 232738560 in words is "two hundred thirty-two million, seven hundred thirty-eight thousand, five hundred sixty".