634688 has 28 divisors (see below), whose sum is σ = 1292352. Its totient is φ = 309120.

The previous prime is 634687. The next prime is 634703. The reversal of 634688 is 886436.

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 634688.

It is not an unprimeable number, because it can be changed into a prime (634681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2903 + ... + 3113.

2⁶³⁴⁶⁸⁸ 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 634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646176).

634688 is an abundant number, since it is smaller than the sum of its proper divisors (657664).

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

634688 is a wasteful number, since it uses less digits than its factorization.

634688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 634688 is about 796.6730822615. The cubic root of 634688 is about 85.9383007969.

The spelling of 634688 in words is "six hundred thirty-four thousand, six hundred eighty-eight".