681800 has 48 divisors (see below), whose sum is σ = 1815360. Its totient is φ = 233280.

The previous prime is 681787. The next prime is 681809. The reversal of 681800 is 8186.

It is not an unprimeable number, because it can be changed into a prime (681809) by changing a digit.

681800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1157 + ... + 1643.

It is an arithmetic number, because the mean of its divisors is an integer number (37820).

2⁶⁸¹⁸⁰⁰ 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 681800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907680).

681800 is an abundant number, since it is smaller than the sum of its proper divisors (1133560).

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

681800 is a wasteful number, since it uses less digits than its factorization.

681800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 681800 is about 825.7118141337. The cubic root of 681800 is about 88.0141161928.

Adding to 681800 its reverse (8186), we get a palindrome (689986).

The spelling of 681800 in words is "six hundred eighty-one thousand, eight hundred".