663216 has 40 divisors (see below), whose sum is σ = 1760304. Its totient is φ = 215040.

The previous prime is 663209. The next prime is 663239. The reversal of 663216 is 612366.

663216 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 663216.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1800 + ... + 2136.

2⁶⁶³²¹⁶ 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 663216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880152).

663216 is an abundant number, since it is smaller than the sum of its proper divisors (1097088).

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

663216 is a wasteful number, since it uses less digits than its factorization.

663216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 663216 is about 814.3807463343. The cubic root of 663216 is about 87.2070639285.

The spelling of 663216 in words is "six hundred sixty-three thousand, two hundred sixteen".