681327360 has 648 divisors, whose sum is σ = 2944390176. Its totient is φ = 144506880.

The previous prime is 681327359. The next prime is 681327371. The reversal of 681327360 is 63723186.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 9596125 + ... + 9596195.

It is an arithmetic number, because the mean of its divisors is an integer number (4543812).

Almost surely, 2^681327360 is an apocalyptic number.

681327360 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 681327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472195088).

681327360 is an abundant number, since it is smaller than the sum of its proper divisors (2263062816).

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

681327360 is a wasteful number, since it uses less digits than its factorization.

681327360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 681327360 is about 26102.2481790362. The cubic root of 681327360 is about 879.9377366416.

The spelling of 681327360 in words is "six hundred eighty-one million, three hundred twenty-seven thousand, three hundred sixty".