680391264 has 96 divisors (see below), whose sum is σ = 2082931200. Its totient is φ = 194388096.

The previous prime is 680391259. The next prime is 680391281. The reversal of 680391264 is 462193086.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 22597 + ... + 43259.

It is an arithmetic number, because the mean of its divisors is an integer number (21697200).

Almost surely, 2^680391264 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 680391264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041465600).

680391264 is an abundant number, since it is smaller than the sum of its proper divisors (1402539936).

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

680391264 is a wasteful number, since it uses less digits than its factorization.

680391264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20697 (or 20675 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 680391264 is about 26084.3106866944. The cubic root of 680391264 is about 879.5345610316.

The spelling of 680391264 in words is "six hundred eighty million, three hundred ninety-one thousand, two hundred sixty-four".