260987160 has 128 divisors (see below), whose sum is σ = 905126400. Its totient is φ = 58967040.

The previous prime is 260987143. The next prime is 260987183. The reversal of 260987160 is 61789062.

260987160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×260987160³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73015 + ... + 76505.

It is an arithmetic number, because the mean of its divisors is an integer number (7071300).

Almost surely, 2^260987160 is an apocalyptic number.

260987160 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 260987160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452563200).

260987160 is an abundant number, since it is smaller than the sum of its proper divisors (644139240).

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

260987160 is a wasteful number, since it uses less digits than its factorization.

260987160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 260987160 is about 16155.0970284923. The cubic root of 260987160 is about 639.0571729380.

The spelling of 260987160 in words is "two hundred sixty million, nine hundred eighty-seven thousand, one hundred sixty".