680688100 has 27 divisors (see below), whose sum is σ = 1477659547. Its totient is φ = 272170880.

The previous prime is 680688089. The next prime is 680688131. The reversal of 680688100 is 1886086.

The square root of 680688100 is 26090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17522596 + 663165504 = 4186^2 + 25752^2 .

It is a super-2 number, since 2×680688100² = 926672578963220000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 680688100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 259596 + ... + 262204.

Almost surely, 2^680688100 is an apocalyptic number.

680688100 is the 26090-th square number.

It is an amenable number.

680688100 is an abundant number, since it is smaller than the sum of its proper divisors (796971447).

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

680688100 is an equidigital number, since it uses as much as digits as its factorization.

680688100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The cubic root of 680688100 is about 879.6624480171.

The spelling of 680688100 in words is "six hundred eighty million, six hundred eighty-eight thousand, one hundred".