681241600 has 264 divisors, whose sum is σ = 1918939680. Its totient is φ = 237895680.

The previous prime is 681241579. The next prime is 681241619. The reversal of 681241600 is 6142186.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7654356 + ... + 7654444.

Almost surely, 2^681241600 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 681241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959469840).

681241600 is an abundant number, since it is smaller than the sum of its proper divisors (1237698080).

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

681241600 is a wasteful number, since it uses less digits than its factorization.

681241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 681241600 is about 26100.6053569644. The cubic root of 681241600 is about 879.9008152676.

Adding to 681241600 its reverse (6142186), we get a palindrome (687383786).

The spelling of 681241600 in words is "six hundred eighty-one million, two hundred forty-one thousand, six hundred".