681210 has 60 divisors (see below), whose sum is σ = 1897038. Its totient is φ = 175392.

The previous prime is 681179. The next prime is 681221. The reversal of 681210 is 12186.

It can be written as a sum of positive squares in 3 ways, for example, as 558009 + 123201 = 747^2 + 351^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 681210.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 23476 + ... + 23504.

2⁶⁸¹²¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948519).

681210 is an abundant number, since it is smaller than the sum of its proper divisors (1215828).

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

681210 is a wasteful number, since it uses less digits than its factorization.

681210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 681210 is about 825.3544693039. The cubic root of 681210 is about 87.9887210062.

Adding to 681210 its reverse (12186), we get a palindrome (693396).

The spelling of 681210 in words is "six hundred eighty-one thousand, two hundred ten".