680735104 has 64 divisors (see below), whose sum is σ = 1555777440. Its totient is φ = 290635776.

The previous prime is 680735089. The next prime is 680735129. The reversal of 680735104 is 401537086.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 680735104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261232 + ... + 263824.

Almost surely, 2^680735104 is an apocalyptic number.

680735104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777888720).

680735104 is an abundant number, since it is smaller than the sum of its proper divisors (875042336).

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

680735104 is a wasteful number, since it uses less digits than its factorization.

680735104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 680735104 is about 26090.9007893557. The cubic root of 680735104 is about 879.6826955196.

The spelling of 680735104 in words is "six hundred eighty million, seven hundred thirty-five thousand, one hundred four".