587688 has 32 divisors (see below), whose sum is σ = 1503360. Its totient is φ = 191360.

The previous prime is 587687. The next prime is 587693. The reversal of 587688 is 886785.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (587687) 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 7 ways as a sum of consecutive naturals, for example, 868 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (46980).

2⁵⁸⁷⁶⁸⁸ 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 587688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751680).

587688 is an abundant number, since it is smaller than the sum of its proper divisors (915672).

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

587688 is a wasteful number, since it uses less digits than its factorization.

587688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 573 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 587688 is about 766.6081137061. The cubic root of 587688 is about 83.7623669270.

It can be divided in two parts, 587 and 688, that added together give a triangular number (1275 = T₅₀).

The spelling of 587688 in words is "five hundred eighty-seven thousand, six hundred eighty-eight".