681075200 has 120 divisors (see below), whose sum is σ = 1817662308. Its totient is φ = 251412480.

The previous prime is 681075139. The next prime is 681075203. The reversal of 681075200 is 2570186.

It can be written as a sum of positive squares in 6 ways, for example, as 105842944 + 575232256 = 10288^2 + 23984^2 .

It is not an unprimeable number, because it can be changed into a prime (681075203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164354 + ... + 168446.

Almost surely, 2^681075200 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 681075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908831154).

681075200 is an abundant number, since it is smaller than the sum of its proper divisors (1136587108).

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

681075200 is a wasteful number, since it uses less digits than its factorization.

681075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 681075200 is about 26097.4174967563. The cubic root of 681075200 is about 879.8291679409.

The spelling of 681075200 in words is "six hundred eighty-one million, seventy-five thousand, two hundred".