261884 has 24 divisors (see below), whose sum is σ = 537600. Its totient is φ = 109296.

The previous prime is 261881. The next prime is 261887. The reversal of 261884 is 488162.

261884 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261881) and next prime (261887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1217 + ... + 1415.

It is an arithmetic number, because the mean of its divisors is an integer number (22400).

261884 is a Friedman number, since it can be written as 8^6-4-(2*1)^8, using all its digits and the basic arithmetic operations.

2²⁶¹⁸⁸⁴ 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 261884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268800).

261884 is an abundant number, since it is smaller than the sum of its proper divisors (275716).

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

261884 is a wasteful number, since it uses less digits than its factorization.

261884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 261884 is about 511.7460307614. The cubic root of 261884 is about 63.9788341467.

It can be divided in two parts, 2618 and 84, that multiplied together give a palindrome (219912).

The spelling of 261884 in words is "two hundred sixty-one thousand, eight hundred eighty-four".