264128641 has 16 divisors (see below), whose sum is σ = 305043840. Its totient is φ = 224023680.

The previous prime is 264128639. The next prime is 264128647. The reversal of 264128641 is 146821462.

264128641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 264128641 - 2¹ = 264128639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264128597 and 264128606.

It is not an unprimeable number, because it can be changed into a prime (264128647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346701 + ... + 347461.

It is an arithmetic number, because the mean of its divisors is an integer number (19065240).

Almost surely, 2^264128641 is an apocalyptic number.

It is an amenable number.

264128641 is a deficient number, since it is larger than the sum of its proper divisors (40915199).

264128641 is a wasteful number, since it uses less digits than its factorization.

264128641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224.

The product of its digits is 18432, while the sum is 34.

The square root of 264128641 is about 16252.0349802725. The cubic root of 264128641 is about 641.6110461562.

It can be divided in two parts, 26412 and 8641, that added together give a palindrome (35053).

The spelling of 264128641 in words is "two hundred sixty-four million, one hundred twenty-eight thousand, six hundred forty-one".