688312 has 16 divisors (see below), whose sum is σ = 1305360. Its totient is φ = 340224.

The previous prime is 688309. The next prime is 688333. The reversal of 688312 is 213886.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 333 + ... + 1219.

It is an arithmetic number, because the mean of its divisors is an integer number (81585).

2⁶⁸⁸³¹² is an apocalyptic number.

It is an amenable number.

688312 is a deficient number, since it is larger than the sum of its proper divisors (617048).

688312 is a wasteful number, since it uses less digits than its factorization.

688312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 986 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 688312 is about 829.6457075162. The cubic root of 688312 is about 88.2934418983.

Multiplying 688312 by its sum of digits (28), we get a triangular number (19272736 = T₆₂₀₈).

It can be divided in two parts, 688 and 312, that added together give a cube (1000 = 10³).

The spelling of 688312 in words is "six hundred eighty-eight thousand, three hundred twelve".