261088 has 24 divisors (see below), whose sum is σ = 529200. Its totient is φ = 126720.

The previous prime is 261077. The next prime is 261089. The reversal of 261088 is 880162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261089) 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, 1213 + ... + 1411.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2²⁶¹⁰⁸⁸ 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 261088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264600).

261088 is an abundant number, since it is smaller than the sum of its proper divisors (268112).

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

261088 is a wasteful number, since it uses less digits than its factorization.

261088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 261088 is about 510.9677093516. The cubic root of 261088 is about 63.9139468465.

The spelling of 261088 in words is "two hundred sixty-one thousand, eighty-eight".