633668 has 36 divisors (see below), whose sum is σ = 1335852. Its totient is φ = 262080.

The previous prime is 633667. The next prime is 633739. The reversal of 633668 is 866336.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 432964 = 448^2 + 658^2 .

It is not an unprimeable number, because it can be changed into a prime (633667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10358 + ... + 10418.

It is an arithmetic number, because the mean of its divisors is an integer number (37107).

2⁶³³⁶⁶⁸ 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 633668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667926).

633668 is an abundant number, since it is smaller than the sum of its proper divisors (702184).

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

633668 is a wasteful number, since it uses less digits than its factorization.

633668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 633668 is about 796.0326626465. The cubic root of 633668 is about 85.8922392852.

The spelling of 633668 in words is "six hundred thirty-three thousand, six hundred sixty-eight".