686088 has 48 divisors (see below), whose sum is σ = 2003820. Its totient is φ = 210816.

The previous prime is 686087. The next prime is 686089. The reversal of 686088 is 880686.

It is an interprime number because it is at equal distance from previous prime (686087) and next prime (686089).

It can be written as a sum of positive squares in 2 ways, for example, as 675684 + 10404 = 822^2 + 102^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 686088.

It is not an unprimeable number, because it can be changed into a prime (686087) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 570 + ... + 1302.

2⁶⁸⁶⁰⁸⁸ 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 686088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001910).

686088 is an abundant number, since it is smaller than the sum of its proper divisors (1317732).

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

686088 is a wasteful number, since it uses less digits than its factorization.

686088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 686088 is about 828.3042919121. The cubic root of 686088 is about 88.1982445237.

The spelling of 686088 in words is "six hundred eighty-six thousand, eighty-eight".