232145760 has 288 divisors, whose sum is σ = 920215296. Its totient is φ = 48153600.

The previous prime is 232145747. The next prime is 232145779. The reversal of 232145760 is 67541232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406275 + ... + 406845.

It is an arithmetic number, because the mean of its divisors is an integer number (3195192).

Almost surely, 2^232145760 is an apocalyptic number.

232145760 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 232145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460107648).

232145760 is an abundant number, since it is smaller than the sum of its proper divisors (688069536).

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

232145760 is a wasteful number, since it uses less digits than its factorization.

232145760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 232145760 is about 15236.3302668326. The cubic root of 232145760 is about 614.5920223637.

Adding to 232145760 its reverse (67541232), we get a palindrome (299686992).

The spelling of 232145760 in words is "two hundred thirty-two million, one hundred forty-five thousand, seven hundred sixty".