663228 has 60 divisors (see below), whose sum is σ = 1829520. Its totient is φ = 209088.

The previous prime is 663209. The next prime is 663239. The reversal of 663228 is 822366.

663228 is a `hidden beast` number, since 6 + 632 + 28 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3456) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is an unprimeable number.

663228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7408 + ... + 7496.

It is an arithmetic number, because the mean of its divisors is an integer number (30492).

2⁶⁶³²²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914760).

663228 is an abundant number, since it is smaller than the sum of its proper divisors (1166292).

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

663228 is a wasteful number, since it uses less digits than its factorization.

663228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 663228 is about 814.3881138622. The cubic root of 663228 is about 87.2075898901.

The spelling of 663228 in words is "six hundred sixty-three thousand, two hundred twenty-eight".