632688 has 60 divisors (see below), whose sum is σ = 1908360. Its totient is φ = 180096.

The previous prime is 632683. The next prime is 632699. The reversal of 632688 is 886236.

632688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 632688.

It is not an unprimeable number, because it can be changed into a prime (632683) 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, 2218 + ... + 2486.

It is an arithmetic number, because the mean of its divisors is an integer number (31806).

2⁶³²⁶⁸⁸ 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 632688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954180).

632688 is an abundant number, since it is smaller than the sum of its proper divisors (1275672).

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

632688 is a wasteful number, since it uses less digits than its factorization.

632688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 632688 is about 795.4168718351. The cubic root of 632688 is about 85.8479375240.

The spelling of 632688 in words is "six hundred thirty-two thousand, six hundred eighty-eight".