227808 has 72 divisors (see below), whose sum is σ = 746928. Its totient is φ = 64512.

The previous prime is 227797. The next prime is 227827. The reversal of 227808 is 808722.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1960 + ... + 2072.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2²²⁷⁸⁰⁸ is an apocalyptic number.

227808 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 227808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464).

227808 is an abundant number, since it is smaller than the sum of its proper divisors (519120).

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

227808 is a wasteful number, since it uses less digits than its factorization.

227808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 227808 is about 477.2923632324. The cubic root of 227808 is about 61.0739942348.

It can be divided in two parts, 227 and 808, that added together give a triangular number (1035 = T₄₅).

The spelling of 227808 in words is "two hundred twenty-seven thousand, eight hundred eight".