688944 has 40 divisors (see below), whose sum is σ = 1841152. Its totient is φ = 221760.

The previous prime is 688939. The next prime is 688951. The reversal of 688944 is 449886.

688944 = T₁₁₇ + T₁₁₈ + ... + T₁₇₈.

It is a nialpdrome in base 16.

It is an unprimeable number.

688944 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 7 ways as a sum of consecutive naturals, for example, 1257 + ... + 1719.

2⁶⁸⁸⁹⁴⁴ 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 688944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920576).

688944 is an abundant number, since it is smaller than the sum of its proper divisors (1152208).

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

688944 is a wasteful number, since it uses less digits than its factorization.

688944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 688944 is about 830.0265056009. The cubic root of 688944 is about 88.3204569657.

The spelling of 688944 in words is "six hundred eighty-eight thousand, nine hundred forty-four".