681040000 has 80 divisors (see below), whose sum is σ = 1695605670. Its totient is φ = 272384000.

The previous prime is 681039991. The next prime is 681040021. The reversal of 681040000 is 40186.

It can be written as a sum of positive squares in 5 ways, for example, as 116122176 + 564917824 = 10776^2 + 23768^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 681040000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 75744 + ... + 84256.

Almost surely, 2^681040000 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 681040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847802835).

681040000 is an abundant number, since it is smaller than the sum of its proper divisors (1014565670).

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

681040000 is an frugal number, since it uses more digits than its factorization.

681040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8547 (or 8520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 681040000 is about 26096.7430918113. The cubic root of 681040000 is about 879.8140102803.

Adding to 681040000 its reverse (40186), we get a palindrome (681080186).

The spelling of 681040000 in words is "six hundred eighty-one million, forty thousand".