681727200 has 864 divisors, whose sum is σ = 3077803008. Its totient is φ = 129024000.

The previous prime is 681727187. The next prime is 681727229. The reversal of 681727200 is 2727186.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 14.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 21991185 + ... + 21991215.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^681727200 is an apocalyptic number.

681727200 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 681727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538901504).

681727200 is an abundant number, since it is smaller than the sum of its proper divisors (2396075808).

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

681727200 is a wasteful number, since it uses less digits than its factorization.

681727200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 681727200 is about 26109.9061660512. The cubic root of 681727200 is about 880.1098347756.

The spelling of 681727200 in words is "six hundred eighty-one million, seven hundred twenty-seven thousand, two hundred".