228668760 has 96 divisors (see below), whose sum is σ = 775513440. Its totient is φ = 58324992.

The previous prime is 228668729. The next prime is 228668821. The reversal of 228668760 is 67866822.

It is a happy number.

228668760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 5529 + ... + 22088.

It is an arithmetic number, because the mean of its divisors is an integer number (8078265).

Almost surely, 2^228668760 is an apocalyptic number.

228668760 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 228668760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387756720).

228668760 is an abundant number, since it is smaller than the sum of its proper divisors (546844680).

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

228668760 is a wasteful number, since it uses less digits than its factorization.

228668760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27657 (or 27650 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 228668760 is about 15121.7975122007. The cubic root of 228668760 is about 611.5081913251.

It can be divided in two parts, 22866 and 8760, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 228668760 in words is "two hundred twenty-eight million, six hundred sixty-eight thousand, seven hundred sixty".