680009929 has 9 divisors (see below), whose sum is σ = 690091573. Its totient is φ = 670074592.

The previous prime is 680009923. The next prime is 680009933. The reversal of 680009929 is 929900086.

The square root of 680009929 is 26077.

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 32205625 + 647804304 = 5675^2 + 25452^2 .

It is not a de Polignac number, because 680009929 - 2¹³ = 680001737 is a prime.

It is a super-3 number, since 3×680009929³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (680009923) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2320707 + ... + 2320999.

Almost surely, 2^680009929 is an apocalyptic number.

680009929 is the 26077-th square number.

680009929 is the 13039-th centered octagonal number.

It is an amenable number.

680009929 is a deficient number, since it is larger than the sum of its proper divisors (10081644).

680009929 is an frugal number, since it uses more digits than its factorization.

680009929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The cubic root of 680009929 is about 879.3702144227.

The spelling of 680009929 in words is "six hundred eighty million, nine thousand, nine hundred twenty-nine".