260729664 has 56 divisors (see below), whose sum is σ = 742919520. Its totient is φ = 80223744.

The previous prime is 260729659. The next prime is 260729669. The reversal of 260729664 is 466927062.

It is a happy number.

260729664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260729659) and next prime (260729669).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260729669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49734 + ... + 54725.

It is an arithmetic number, because the mean of its divisors is an integer number (13266420).

Almost surely, 2^260729664 is an apocalyptic number.

260729664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

260729664 is an abundant number, since it is smaller than the sum of its proper divisors (482189856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

260729664 is a wasteful number, since it uses less digits than its factorization.

260729664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104487 (or 104477 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 260729664 is about 16147.1255646322. The cubic root of 260729664 is about 638.8469342257.

The spelling of 260729664 in words is "two hundred sixty million, seven hundred twenty-nine thousand, six hundred sixty-four".