681314000 has 40 divisors (see below), whose sum is σ = 1647422088. Its totient is φ = 272524800.

The previous prime is 681313991. The next prime is 681314009. The reversal of 681314000 is 413186.

It is an interprime number because it is at equal distance from previous prime (681313991) and next prime (681314009).

It can be written as a sum of positive squares in 4 ways, for example, as 34527376 + 646786624 = 5876^2 + 25432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681314009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 168329 + ... + 172328.

Almost surely, 2^681314000 is an apocalyptic number.

It is an amenable number.

681314000 is an abundant number, since it is smaller than the sum of its proper divisors (966108088).

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

681314000 is a wasteful number, since it uses less digits than its factorization.

681314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340680 (or 340664 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 681314000 is about 26101.9922611283. The cubic root of 681314000 is about 879.9319851014.

Adding to 681314000 its reverse (413186), we get a palindrome (681727186).

The spelling of 681314000 in words is "six hundred eighty-one million, three hundred fourteen thousand".