260185728 has 128 divisors (see below), whose sum is σ = 778659840. Its totient is φ = 76262400.

The previous prime is 260185727. The next prime is 260185747. The reversal of 260185728 is 827581062.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×260185728² = 135393226109779968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (260185727) 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, 129951 + ... + 131937.

It is an arithmetic number, because the mean of its divisors is an integer number (6083280).

Almost surely, 2^260185728 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 260185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389329920).

260185728 is an abundant number, since it is smaller than the sum of its proper divisors (518474112).

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

260185728 is a wasteful number, since it uses less digits than its factorization.

260185728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 260185728 is about 16130.2736492596. The cubic root of 260185728 is about 638.4023693231.

The spelling of 260185728 in words is "two hundred sixty million, one hundred eighty-five thousand, seven hundred twenty-eight".