261184 has 56 divisors (see below), whose sum is σ = 658368. Its totient is φ = 99840.

The previous prime is 261169. The next prime is 261223. The reversal of 261184 is 481162.

261184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4902 + ... + 4954.

2²⁶¹¹⁸⁴ 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 261184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329184).

261184 is an abundant number, since it is smaller than the sum of its proper divisors (397184).

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

261184 is a wasteful number, since it uses less digits than its factorization.

261184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 73 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 261184 is about 511.0616401179. The cubic root of 261184 is about 63.9217794381.

Subtracting from 261184 its sum of digits (22), we obtain a palindrome (261162).

The spelling of 261184 in words is "two hundred sixty-one thousand, one hundred eighty-four".