681210000 has 375 divisors, whose sum is σ = 2551621501. Its totient is φ = 175392000.

The previous prime is 681209987. The next prime is 681210001. The reversal of 681210000 is 12186.

The square root of 681210000 is 26100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 509495184 + 171714816 = 22572^2 + 13104^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (681210001) by changing a digit.

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 74 ways as a sum of consecutive naturals, for example, 23489986 + ... + 23490014.

Almost surely, 2^681210000 is an apocalyptic number.

681210000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

681210000 is the 26100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681210000

681210000 is an abundant number, since it is smaller than the sum of its proper divisors (1870411501).

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

681210000 is an equidigital number, since it uses as much as digits as its factorization.

681210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The cubic root of 681210000 is about 879.8872100622.

Adding to 681210000 its reverse (12186), we get a palindrome (681222186).

It can be divided in two parts, 681 and 210000, that added together give a square (210681 = 459²).

The spelling of 681210000 in words is "six hundred eighty-one million, two hundred ten thousand".