261120 has 88 divisors (see below), whose sum is σ = 884304. Its totient is φ = 65536.

The previous prime is 261101. The next prime is 261127. The reversal of 261120 is 21162.

It is a Cunningham number, because it is equal to 511²-1.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 2, base 4 and base 8.

It is a zygodrome in base 2 and base 4.

It is a junction number, because it is equal to n+sod(n) for n = 261096 and 261105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261127) by changing a digit.

261120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 261120 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15352 + ... + 15368.

2²⁶¹¹²⁰ is an apocalyptic number.

261120 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 261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442152).

261120 is an abundant number, since it is smaller than the sum of its proper divisors (623184).

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

261120 is a wasteful number, since it uses less digits than its factorization.

261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 261120 is about 510.9990215255. Note that the first 3 decimals coincide. The cubic root of 261120 is about 63.9165579236.

Adding to 261120 its reverse (21162), we get a palindrome (282282).

The spelling of 261120 in words is "two hundred sixty-one thousand, one hundred twenty".