687330 has 48 divisors (see below), whose sum is σ = 2044224. Its totient is φ = 156960.

The previous prime is 687317. The next prime is 687331. The reversal of 687330 is 33786.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 687294 and 687303.

It is not an unprimeable number, because it can be changed into a prime (687331) 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 23 ways as a sum of consecutive naturals, for example, 85 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (42588).

2⁶⁸⁷³³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022112).

687330 is an abundant number, since it is smaller than the sum of its proper divisors (1356894).

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

687330 is a wasteful number, since it uses less digits than its factorization.

687330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 687330 is about 829.0536773937. The cubic root of 687330 is about 88.2514331263.

It can be divided in two parts, 6873 and 30, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 687330 in words is "six hundred eighty-seven thousand, three hundred thirty".