681000 has 64 divisors (see below), whose sum is σ = 2134080. Its totient is φ = 180800.

The previous prime is 680993. The next prime is 681001. The reversal of 681000 is 186.

It is a super-2 number, since 2×681000² = 927522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (681001) by changing a digit.

681000 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2887 + ... + 3113.

It is an arithmetic number, because the mean of its divisors is an integer number (33345).

2⁶⁸¹⁰⁰⁰ is an apocalyptic number.

681000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067040).

681000 is an abundant number, since it is smaller than the sum of its proper divisors (1453080).

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

681000 is a wasteful number, since it uses less digits than its factorization.

681000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 681000 is about 825.2272414311. The cubic root of 681000 is about 87.9796785032.

Adding to 681000 its reverse (186), we get a palindrome (681186).

The spelling of 681000 in words is "six hundred eighty-one thousand".