1603960641 has 24 divisors (see below), whose sum is σ = 2357898816. Its totient is φ = 1050498720.

The previous prime is 1603960627. The next prime is 1603960643. The reversal of 1603960641 is 1460693061.

1603960641 is a `hidden beast` number, since 1 + 6 + 0 + 3 + 9 + 6 + 0 + 641 = 666.

It is not a de Polignac number, because 1603960641 - 2⁶ = 1603960577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1603960596 and 1603960605.

It is not an unprimeable number, because it can be changed into a prime (1603960643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129276 + ... + 141138.

It is an arithmetic number, because the mean of its divisors is an integer number (98245784).

Almost surely, 2^1603960641 is an apocalyptic number.

It is an amenable number.

1603960641 is a deficient number, since it is larger than the sum of its proper divisors (753938175).

1603960641 is a wasteful number, since it uses less digits than its factorization.

1603960641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1603960641 is about 40049.4774123209. The cubic root of 1603960641 is about 1170.5713821018.

The spelling of 1603960641 in words is "one billion, six hundred three million, nine hundred sixty thousand, six hundred forty-one".