260867760 has 160 divisors (see below), whose sum is σ = 860034240. Its totient is φ = 65286144.

The previous prime is 260867729. The next prime is 260867807. The reversal of 260867760 is 67768062.

260867760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 257014 + ... + 258026.

It is an arithmetic number, because the mean of its divisors is an integer number (5375214).

Almost surely, 2^260867760 is an apocalyptic number.

260867760 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 260867760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430017120).

260867760 is an abundant number, since it is smaller than the sum of its proper divisors (599166480).

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

260867760 is a wasteful number, since it uses less digits than its factorization.

260867760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 260867760 is about 16151.4011776069. The cubic root of 260867760 is about 638.9597031806.

The spelling of 260867760 in words is "two hundred sixty million, eight hundred sixty-seven thousand, seven hundred sixty".