261180 has 36 divisors (see below), whose sum is σ = 792792. Its totient is φ = 69600.

The previous prime is 261169. The next prime is 261223. The reversal of 261180 is 81162.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (22022).

2²⁶¹¹⁸⁰ is an apocalyptic number.

261180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261180 is an abundant number, since it is smaller than the sum of its proper divisors (531612).

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

261180 is a wasteful number, since it uses less digits than its factorization.

261180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 261180 is about 511.0577266807. The cubic root of 261180 is about 63.9214531184.

Subtracting from 261180 its sum of digits (18), we obtain a palindrome (261162).

It can be divided in two parts, 261 and 180, that added together give a square (441 = 21²).

The spelling of 261180 in words is "two hundred sixty-one thousand, one hundred eighty".