687344 has 60 divisors (see below), whose sum is σ = 1700784. Its totient is φ = 262656.

The previous prime is 687343. The next prime is 687359. The reversal of 687344 is 443786.

It is a happy number.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 687344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36167 + ... + 36185.

2⁶⁸⁷³⁴⁴ 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 687344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850392).

687344 is an abundant number, since it is smaller than the sum of its proper divisors (1013440).

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

687344 is a wasteful number, since it uses less digits than its factorization.

687344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 45 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 687344 is about 829.0621207123. The cubic root of 687344 is about 88.2520323104.

It can be divided in two parts, 687 and 344, that multiplied together give a triangular number (236328 = T₆₈₇).

The spelling of 687344 in words is "six hundred eighty-seven thousand, three hundred forty-four".