681131200 has 168 divisors, whose sum is σ = 1777886208. Its totient is φ = 256312320.

The previous prime is 681131167. The next prime is 681131201. The reversal of 681131200 is 2131186.

It is a super-2 number, since 2×681131200² = 927879423226880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (681131201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3054289 + ... + 3054511.

It is an arithmetic number, because the mean of its divisors is an integer number (10582656).

Almost surely, 2^681131200 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 681131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888943104).

681131200 is an abundant number, since it is smaller than the sum of its proper divisors (1096755008).

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

681131200 is a wasteful number, since it uses less digits than its factorization.

681131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 681131200 is about 26098.4903777977. The cubic root of 681131200 is about 879.8532813247.

Adding to 681131200 its reverse (2131186), we get a palindrome (683262386).

The spelling of 681131200 in words is "six hundred eighty-one million, one hundred thirty-one thousand, two hundred".