680051064 has 192 divisors, whose sum is σ = 2179365120. Its totient is φ = 171763200.

The previous prime is 680050979. The next prime is 680051069. The reversal of 680051064 is 460150086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680051069) 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 47 ways as a sum of consecutive naturals, for example, 9315732 + ... + 9315804.

It is an arithmetic number, because the mean of its divisors is an integer number (11350860).

Almost surely, 2^680051064 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 680051064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089682560).

680051064 is an abundant number, since it is smaller than the sum of its proper divisors (1499314056).

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

680051064 is a wasteful number, since it uses less digits than its factorization.

680051064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 680051064 is about 26077.7887099347. The cubic root of 680051064 is about 879.3879456170.

The spelling of 680051064 in words is "six hundred eighty million, fifty-one thousand, sixty-four".