606920460601 has 45 divisors (see below), whose sum is σ = 767312659599. Its totient is φ = 479808162288.

The previous prime is 606920460593. The next prime is 606920460617. The reversal of 606920460601 is 106064029606.

The square root of 606920460601 is 779051.

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

606920460601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 89781133225 + 517139327376 = 299635^2 + 719124^2 .

It is not a de Polignac number, because 606920460601 - 2³ = 606920460593 is a prime.

It is a super-2 number, since 2×606920460601² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (606920460101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 496254876 + ... + 496256098.

Almost surely, 2^606920460601 is an apocalyptic number.

606920460601 is the 779051-st square number.

606920460601 is the 389526-th centered octagonal number.

It is an amenable number.

606920460601 is a deficient number, since it is larger than the sum of its proper divisors (160392198998).

606920460601 is an frugal number, since it uses more digits than its factorization.

606920460601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 606920460601 in words is "six hundred six billion, nine hundred twenty million, four hundred sixty thousand, six hundred one".