680715360 has 768 divisors, whose sum is σ = 2926264320. Its totient is φ = 145981440.

The previous prime is 680715353. The next prime is 680715367. The reversal of 680715360 is 63517086.

It is an interprime number because it is at equal distance from previous prime (680715353) and next prime (680715367).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680715367) 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 127 ways as a sum of consecutive naturals, for example, 21958545 + ... + 21958575.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2^680715360 is an apocalyptic number.

680715360 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 680715360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463132160).

680715360 is an abundant number, since it is smaller than the sum of its proper divisors (2245548960).

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

680715360 is a wasteful number, since it uses less digits than its factorization.

680715360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 680715360 is about 26090.5224171537. The cubic root of 680715360 is about 879.6741906827.

The spelling of 680715360 in words is "six hundred eighty million, seven hundred fifteen thousand, three hundred sixty".