688384 has 18 divisors (see below), whose sum is σ = 1374590. Its totient is φ = 344064.

The previous prime is 688379. The next prime is 688393. The reversal of 688384 is 483886.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 278784 = 640^2 + 528^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1089 + ... + 1600.

2⁶⁸⁸³⁸⁴ is an apocalyptic number.

688384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

688384 is a deficient number, since it is larger than the sum of its proper divisors (686206).

688384 is an equidigital number, since it uses as much as digits as its factorization.

688384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2691 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 688384 is about 829.6890983977. The cubic root of 688384 is about 88.2965203986.

The spelling of 688384 in words is "six hundred eighty-eight thousand, three hundred eighty-four".