688752 has 30 divisors (see below), whose sum is σ = 1927952. Its totient is φ = 229536.

The previous prime is 688747. The next prime is 688757. The reversal of 688752 is 257886.

It is an interprime number because it is at equal distance from previous prime (688747) and next prime (688757).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688757) by changing a digit.

688752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2248 + ... + 2535.

2⁶⁸⁸⁷⁵² is an apocalyptic number.

It is an amenable number.

688752 is an abundant number, since it is smaller than the sum of its proper divisors (1239200).

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

688752 is a wasteful number, since it uses less digits than its factorization.

688752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4788 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 688752 is about 829.9108385845. The cubic root of 688752 is about 88.3122516044.

The spelling of 688752 in words is "six hundred eighty-eight thousand, seven hundred fifty-two".