681033600 has 576 divisors, whose sum is σ = 2796852240. Its totient is φ = 156303360.

The previous prime is 681033599. The next prime is 681033629. The reversal of 681033600 is 6330186.

681033600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6364747 + ... + 6364853.

Almost surely, 2^681033600 is an apocalyptic number.

681033600 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 681033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398426120).

681033600 is an abundant number, since it is smaller than the sum of its proper divisors (2115818640).

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

681033600 is a wasteful number, since it uses less digits than its factorization.

681033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 681033600 is about 26096.6204708579. The cubic root of 681033600 is about 879.8112542858.

Adding to 681033600 its reverse (6330186), we get a palindrome (687363786).

The spelling of 681033600 in words is "six hundred eighty-one million, thirty-three thousand, six hundred".