688632 has 32 divisors (see below), whose sum is σ = 1968000. Its totient is φ = 196704.

The previous prime is 688631. The next prime is 688637. The reversal of 688632 is 236886.

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 = 688593 and 688602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1882 + ... + 2217.

It is an arithmetic number, because the mean of its divisors is an integer number (61500).

2⁶⁸⁸⁶³² is an apocalyptic number.

It is an amenable number.

688632 is an abundant number, since it is smaller than the sum of its proper divisors (1279368).

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

688632 is a wasteful number, since it uses less digits than its factorization.

688632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4111 counting only the distinct ones).

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

The square root of 688632 is about 829.8385385122. The cubic root of 688632 is about 88.3071224792.

The spelling of 688632 in words is "six hundred eighty-eight thousand, six hundred thirty-two".