687580 has 24 divisors (see below), whose sum is σ = 1491840. Its totient is φ = 265920.

The previous prime is 687559. The next prime is 687581. The reversal of 687580 is 85786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687581) by changing a digit.

687580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 1174.

It is an arithmetic number, because the mean of its divisors is an integer number (62160).

2⁶⁸⁷⁵⁸⁰ 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 687580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745920).

687580 is an abundant number, since it is smaller than the sum of its proper divisors (804260).

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

687580 is a wasteful number, since it uses less digits than its factorization.

687580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 687580 is about 829.2044380007. The cubic root of 687580 is about 88.2621316185.

The spelling of 687580 in words is "six hundred eighty-seven thousand, five hundred eighty".