633216 has 64 divisors (see below), whose sum is σ = 1799280. Its totient is φ = 196608.

The previous prime is 633209. The next prime is 633221. The reversal of 633216 is 612336.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 633192 and 633201.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 633216.

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 7 ways as a sum of consecutive naturals, for example, 6480 + ... + 6576.

2⁶³³²¹⁶ 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 633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899640).

633216 is an abundant number, since it is smaller than the sum of its proper divisors (1166064).

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

633216 is a wasteful number, since it uses less digits than its factorization.

633216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 633216 is about 795.7487040517. The cubic root of 633216 is about 85.8718119074.

The spelling of 633216 in words is "six hundred thirty-three thousand, two hundred sixteen".