633680 has 30 divisors (see below), whose sum is σ = 1490046. Its totient is φ = 250624.

The previous prime is 633667. The next prime is 633739. The reversal of 633680 is 86336.

It can be written as a sum of positive squares in 3 ways, for example, as 64 + 633616 = 8^2 + 796^2 .

It is a congruent number.

It is an unprimeable number.

633680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7076 + ... + 7164.

2⁶³³⁶⁸⁰ 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 633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745023).

633680 is an abundant number, since it is smaller than the sum of its proper divisors (856366).

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

633680 is an equidigital number, since it uses as much as digits as its factorization.

633680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 633680 is about 796.0401999899. The cubic root of 633680 is about 85.8927814725.

The spelling of 633680 in words is "six hundred thirty-three thousand, six hundred eighty".