681813600 has 324 divisors, whose sum is σ = 2463193908. Its totient is φ = 163737600.

The previous prime is 681813599. The next prime is 681813607. The reversal of 681813600 is 6318186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681813607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16629580 + ... + 16629620.

Almost surely, 2^681813600 is an apocalyptic number.

681813600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231596954).

681813600 is an abundant number, since it is smaller than the sum of its proper divisors (1781380308).

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

681813600 is a wasteful number, since it uses less digits than its factorization.

681813600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 681813600 is about 26111.5606580687. The cubic root of 681813600 is about 880.1470140058.

The spelling of 681813600 in words is "six hundred eighty-one million, eight hundred thirteen thousand, six hundred".