260704128 has 64 divisors (see below), whose sum is σ = 695232000. Its totient is φ = 86558208.

The previous prime is 260704127. The next prime is 260704133. The reversal of 260704128 is 821407062.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 260704095 and 260704104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260704127) 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 7 ways as a sum of consecutive naturals, for example, 107473 + ... + 109871.

It is an arithmetic number, because the mean of its divisors is an integer number (10863000).

Almost surely, 2^260704128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347616000).

260704128 is an abundant number, since it is smaller than the sum of its proper divisors (434527872).

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

260704128 is a wasteful number, since it uses less digits than its factorization.

260704128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 260704128 is about 16146.3348162981. The cubic root of 260704128 is about 638.8260772102.

The spelling of 260704128 in words is "two hundred sixty million, seven hundred four thousand, one hundred twenty-eight".