681367680 has 512 divisors, whose sum is σ = 2843596800. Its totient is φ = 150958080.

The previous prime is 681367669. The next prime is 681367699. The reversal of 681367680 is 86763186.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 5201215 + ... + 5201345.

It is an arithmetic number, because the mean of its divisors is an integer number (5553900).

Almost surely, 2^681367680 is an apocalyptic number.

681367680 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 681367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421798400).

681367680 is an abundant number, since it is smaller than the sum of its proper divisors (2162229120).

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

681367680 is a wasteful number, since it uses less digits than its factorization.

681367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 681367680 is about 26103.0205148753. The cubic root of 681367680 is about 879.9550941273.

The spelling of 681367680 in words is "six hundred eighty-one million, three hundred sixty-seven thousand, six hundred eighty".