680726592 has 504 divisors, whose sum is σ = 2571756096. Its totient is φ = 174680064.

The previous prime is 680726591. The next prime is 680726611. The reversal of 680726592 is 295627086.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680726591) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18397998 + ... + 18398034.

Almost surely, 2^680726592 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 680726592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285878048).

680726592 is an abundant number, since it is smaller than the sum of its proper divisors (1891029504).

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

680726592 is a wasteful number, since it uses less digits than its factorization.

680726592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 680726592 is about 26090.7376668426. The cubic root of 680726592 is about 879.6790289488.

The spelling of 680726592 in words is "six hundred eighty million, seven hundred twenty-six thousand, five hundred ninety-two".