1564610641 has 16 divisors (see below), whose sum is σ = 1768513536. Its totient is φ = 1371330000.

The previous prime is 1564610633. The next prime is 1564610647. The reversal of 1564610641 is 1460164651.

It is a cyclic number.

It is not a de Polignac number, because 1564610641 - 2³ = 1564610633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1564610597 and 1564610606.

It is not an unprimeable number, because it can be changed into a prime (1564610647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83946 + ... + 100876.

It is an arithmetic number, because the mean of its divisors is an integer number (110532096).

Almost surely, 2^1564610641 is an apocalyptic number.

1564610641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1564610641 is a deficient number, since it is larger than the sum of its proper divisors (203902895).

1564610641 is a wasteful number, since it uses less digits than its factorization.

1564610641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17244.

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1564610641 is about 39555.1594738284. The cubic root of 1564610641 is about 1160.9194654609.

The spelling of 1564610641 in words is "one billion, five hundred sixty-four million, six hundred ten thousand, six hundred forty-one".