681318 has 64 divisors (see below), whose sum is σ = 1751040. Its totient is φ = 194400.

The previous prime is 681311. The next prime is 681337. The reversal of 681318 is 813186.

681318 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 681291 and 681300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681311) by changing a digit.

It is a Kaprekar number, because its square (464194217124) can be partitioned into two parts whose sum is 681318.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18396 + ... + 18432.

It is an arithmetic number, because the mean of its divisors is an integer number (27360).

2⁶⁸¹³¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875520).

681318 is an abundant number, since it is smaller than the sum of its proper divisors (1069722).

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

681318 is a wasteful number, since it uses less digits than its factorization.

681318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 681318 is about 825.4198931453. The cubic root of 681318 is about 87.9933707127.

It can be divided in two parts, 681 and 318, that added together give a palindrome (999).

The spelling of 681318 in words is "six hundred eighty-one thousand, three hundred eighteen".