688144 has 20 divisors (see below), whose sum is σ = 1367100. Its totient is φ = 335360.

The previous prime is 688139. The next prime is 688147. The reversal of 688144 is 441886.

It can be written as a sum of positive squares in 2 ways, for example, as 313600 + 374544 = 560^2 + 612^2 .

It is not an unprimeable number, because it can be changed into a prime (688147) by changing a digit.

688144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132 + ... + 1180.

It is an arithmetic number, because the mean of its divisors is an integer number (68355).

2⁶⁸⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

688144 is a deficient number, since it is larger than the sum of its proper divisors (678956).

688144 is a wasteful number, since it uses less digits than its factorization.

688144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1092 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 688144 is about 829.5444532995. The cubic root of 688144 is about 88.2862578959.

The spelling of 688144 in words is "six hundred eighty-eight thousand, one hundred forty-four".