260886080 has 336 divisors, whose sum is σ = 838419456. Its totient is φ = 75202560.

The previous prime is 260886077. The next prime is 260886089. The reversal of 260886080 is 80688062.

It is not an unprimeable number, because it can be changed into a prime (260886089) 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 47 ways as a sum of consecutive naturals, for example, 8415665 + ... + 8415695.

It is an arithmetic number, because the mean of its divisors is an integer number (2495296).

Almost surely, 2^260886080 is an apocalyptic number.

260886080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419209728).

260886080 is an abundant number, since it is smaller than the sum of its proper divisors (577533376).

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

260886080 is a wasteful number, since it uses less digits than its factorization.

260886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 260886080 is about 16151.9683011081. The cubic root of 260886080 is about 638.9746602706.

It can be divided in two parts, 2608 and 86080, that added together give a palindrome (88688).

The spelling of 260886080 in words is "two hundred sixty million, eight hundred eighty-six thousand, eighty".