681111360 has 168 divisors, whose sum is σ = 2381759016. Its totient is φ = 178606080.

The previous prime is 681111359. The next prime is 681111391. The reversal of 681111360 is 63111186.

It can be written as a sum of positive squares in 4 ways, for example, as 8020224 + 673091136 = 2832^2 + 25944^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173742 + ... + 177618.

It is an arithmetic number, because the mean of its divisors is an integer number (14177137).

Almost surely, 2^681111360 is an apocalyptic number.

681111360 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 681111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190879508).

681111360 is an abundant number, since it is smaller than the sum of its proper divisors (1700647656).

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

681111360 is a wasteful number, since it uses less digits than its factorization.

681111360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 681111360 is about 26098.1102764166. The cubic root of 681111360 is about 879.8447384485.

The spelling of 681111360 in words is "six hundred eighty-one million, one hundred eleven thousand, three hundred sixty".