680961330 has 384 divisors, whose sum is σ = 2306304000. Its totient is φ = 144027072.

The previous prime is 680961319. The next prime is 680961341. The reversal of 680961330 is 33169086.

It is a happy number.

680961330 is a `hidden beast` number, since 6 + 8 + 0 + 9 + 613 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (680961319) and next prime (680961341).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15836289 + ... + 15836331.

It is an arithmetic number, because the mean of its divisors is an integer number (6006000).

Almost surely, 2^680961330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680961330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153152000).

680961330 is an abundant number, since it is smaller than the sum of its proper divisors (1625342670).

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

680961330 is a wasteful number, since it uses less digits than its factorization.

680961330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 680961330 is about 26095.2357720715. The cubic root of 680961330 is about 879.7801318818.

The spelling of 680961330 in words is "six hundred eighty million, nine hundred sixty-one thousand, three hundred thirty".