681583360 has 144 divisors (see below), whose sum is σ = 1713035520. Its totient is φ = 259522560.

The previous prime is 681583351. The next prime is 681583373. The reversal of 681583360 is 63385186.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3531424 + ... + 3531616.

It is an arithmetic number, because the mean of its divisors is an integer number (11896080).

Almost surely, 2^681583360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856517760).

681583360 is an abundant number, since it is smaller than the sum of its proper divisors (1031452160).

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

681583360 is a wasteful number, since it uses less digits than its factorization.

681583360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 681583360 is about 26107.1515106493. The cubic root of 681583360 is about 880.0479312736.

The spelling of 681583360 in words is "six hundred eighty-one million, five hundred eighty-three thousand, three hundred sixty".