261760 has 32 divisors (see below), whose sum is σ = 627300. Its totient is φ = 104448.

The previous prime is 261757. The next prime is 261761. The reversal of 261760 is 67162.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 7744 = 504^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 4 and base 8.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (261761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 436 + ... + 844.

2²⁶¹⁷⁶⁰ is an apocalyptic number.

261760 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 261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313650).

261760 is an abundant number, since it is smaller than the sum of its proper divisors (365540).

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

261760 is an equidigital number, since it uses as much as digits as its factorization.

261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 261760 is about 511.6248625702. The cubic root of 261760 is about 63.9687347288.

The spelling of 261760 in words is "two hundred sixty-one thousand, seven hundred sixty".