227568768 has 128 divisors (see below), whose sum is σ = 713379840. Its totient is φ = 62899200.

The previous prime is 227568767. The next prime is 227568787. The reversal of 227568768 is 867865722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 227568768.

It is not an unprimeable number, because it can be changed into a prime (227568767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81963 + ... + 84693.

It is an arithmetic number, because the mean of its divisors is an integer number (5573280).

Almost surely, 2^227568768 is an apocalyptic number.

227568768 is a gapful number since it is divisible by the number (28) 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 227568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356689920).

227568768 is an abundant number, since it is smaller than the sum of its proper divisors (485811072).

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

227568768 is a wasteful number, since it uses less digits than its factorization.

227568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2774 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 227568768 is about 15085.3825937561. The cubic root of 227568768 is about 610.5260784612.

The spelling of 227568768 in words is "two hundred twenty-seven million, five hundred sixty-eight thousand, seven hundred sixty-eight".