680657408 has 30 divisors (see below), whose sum is σ = 1361165949. Its totient is φ = 340033536.

The previous prime is 680657401. The next prime is 680657437. The reversal of 680657408 is 804756086.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 617423104 + 63234304 = 24848^2 + 7952^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=18448.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (680657401) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 589760 + ... + 590912.

Almost surely, 2^680657408 is an apocalyptic number.

It is an amenable number.

680657408 is a deficient number, since it is larger than the sum of its proper divisors (680508541).

680657408 is an frugal number, since it uses more digits than its factorization.

680657408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 680657408 is about 26089.4117986589. The cubic root of 680657408 is about 879.6492265893.

The spelling of 680657408 in words is "six hundred eighty million, six hundred fifty-seven thousand, four hundred eight".