680593320 has 256 divisors, whose sum is σ = 2519424000. Its totient is φ = 162028800.

The previous prime is 680593279. The next prime is 680593321. The reversal of 680593320 is 23395086.

680593320 is a `hidden beast` number, since 68 + 0 + 593 + 3 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (680593321) 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 63 ways as a sum of consecutive naturals, for example, 700435 + ... + 701405.

It is an arithmetic number, because the mean of its divisors is an integer number (9841500).

Almost surely, 2^680593320 is an apocalyptic number.

680593320 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 680593320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259712000).

680593320 is an abundant number, since it is smaller than the sum of its proper divisors (1838830680).

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

680593320 is a wasteful number, since it uses less digits than its factorization.

680593320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 680593320 is about 26088.1835320131. The cubic root of 680593320 is about 879.6216176295.

The spelling of 680593320 in words is "six hundred eighty million, five hundred ninety-three thousand, three hundred twenty".