681300 has 54 divisors (see below), whose sum is σ = 2138318. Its totient is φ = 181440.

The previous prime is 681293. The next prime is 681311. The reversal of 681300 is 3186.

It can be written as a sum of positive squares in 3 ways, for example, as 63504 + 617796 = 252^2 + 786^2 .

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 522 + ... + 1278.

2⁶⁸¹³⁰⁰ is an apocalyptic number.

681300 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 681300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069159).

681300 is an abundant number, since it is smaller than the sum of its proper divisors (1457018).

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

681300 is a wasteful number, since it uses less digits than its factorization.

681300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 681300 is about 825.4089895319. The cubic root of 681300 is about 87.9925957958.

Adding to 681300 its reverse (3186), we get a palindrome (684486).

The spelling of 681300 in words is "six hundred eighty-one thousand, three hundred".