229760 has 32 divisors (see below), whose sum is σ = 550800. Its totient is φ = 91648.

The previous prime is 229759. The next prime is 229763. The reversal of 229760 is 67922.

229760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 229760.

It is not an unprimeable number, because it can be changed into a prime (229763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 461 + ... + 819.

2²²⁹⁷⁶⁰ is an apocalyptic number.

229760 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 229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275400).

229760 is an abundant number, since it is smaller than the sum of its proper divisors (321040).

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

229760 is an equidigital number, since it uses as much as digits as its factorization.

229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 229760 is about 479.3328697262. The cubic root of 229760 is about 61.2479382896.

It can be divided in two parts, 229 and 760, that added together give a palindrome (989).

The spelling of 229760 in words is "two hundred twenty-nine thousand, seven hundred sixty".