663104 has 28 divisors (see below), whose sum is σ = 1418844. Its totient is φ = 305664.

The previous prime is 663097. The next prime is 663127. The reversal of 663104 is 401366.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 462400 = 448^2 + 680^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 434 + ... + 1230.

It is an arithmetic number, because the mean of its divisors is an integer number (50673).

2⁶⁶³¹⁰⁴ is an apocalyptic number.

663104 is a gapful number since it is divisible by the number (64) 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 663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709422).

663104 is an abundant number, since it is smaller than the sum of its proper divisors (755740).

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

663104 is a wasteful number, since it uses less digits than its factorization.

663104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 663104 is about 814.3119795263. The cubic root of 663104 is about 87.2021546475.

It can be divided in two parts, 663 and 104, that added together give a palindrome (767).

The spelling of 663104 in words is "six hundred sixty-three thousand, one hundred four".