663288 has 32 divisors (see below), whose sum is σ = 1717200. Its totient is φ = 213248.

The previous prime is 663283. The next prime is 663301. The reversal of 663288 is 882366.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663281) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 220 + ... + 1172.

2⁶⁶³²⁸⁸ 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 663288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858600).

663288 is an abundant number, since it is smaller than the sum of its proper divisors (1053912).

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

663288 is a wasteful number, since it uses less digits than its factorization.

663288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 987 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 663288 is about 814.4249505019. The cubic root of 663288 is about 87.2102196030.

The spelling of 663288 in words is "six hundred sixty-three thousand, two hundred eighty-eight".