4185960601 has 27 divisors (see below), whose sum is σ = 4579170141. Its totient is φ = 3826040064.

The previous prime is 4185960563. The next prime is 4185960613. The reversal of 4185960601 is 1060695814.

The square root of 4185960601 is 64699.

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 2975625 + 4182984976 = 1725^2 + 64676^2 .

It is not a de Polignac number, because 4185960601 - 2²¹ = 4183863449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4185960301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43154185 + ... + 43154281.

Almost surely, 2^4185960601 is an apocalyptic number.

4185960601 is the 64699-th square number.

4185960601 is the 32350-th centered octagonal number.

It is an amenable number.

4185960601 is a deficient number, since it is larger than the sum of its proper divisors (393209540).

4185960601 is an frugal number, since it uses more digits than its factorization.

4185960601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The cubic root of 4185960601 is about 1611.6288956488.

The spelling of 4185960601 in words is "four billion, one hundred eighty-five million, nine hundred sixty thousand, six hundred one".